Just finished, here's what I used and had everyone live:
 
Had all 3 ship upgrades.
All were loyal.
 
Used Jack and Mordin for squad progressing through. 

Vents: Legion
1st Squad Leader: Miranda
Shields: Samara
2nd Squad Leader: Miranda
Escort: Jacob
Last Battle: Grunt and Thane
 
 
Jack was pretty pissed off at the idea of Miranda leading, so I brought Jack along with me instead of going with Miranda. Don't know if that's a variable or not. But more data helps.

I''m about to go through the omega relay but i just realized that legion isn't loyal. I don't really know how that happened. Will that affect the mission? If so how can i get him loyal again?

" I''m about to go through the omega relay but i just realized that legion isn't loyal. I don't really know how that happened. Will that affect the mission? If so how can i get him loyal again? "

Tip: Samara is not a qualified leader for a squad (apparently), Legion died as a result so I didn't even play any further than that.

Vent: Tali
1st Squad Leader: Garrus
Shield: Samara
2nd Squad Leader: Garrus
Escort: Grunt
Team Throughout (and in boss battle): Miranda & Mordin
 
Beat it in under 18 hours, first try with those guys. Glad, too, my saves were weird and if I screwed up, I would have been screwed!

Vents: Legion 
1st Squad Leader: Garrus
Shields: Samara
2nd Squad Leader: Jacob
Escort: Zaeed
Crew for last battle: Tali/Jack

So Jack was the only one not loyal because of the whole Miranda vs. Jack thing and she died.  I'm guessing I have to have her loyal next time to be able to do it?

A question to those having Mordin die: Did you make his omnitool upgrade for him or not?

This might find this useful.
The character who gives a status report after you destroy the tanks will not die regardless if he/she is not loyal.

Here's another one that works to get everyone out alive as long as all other requirements are in place.  It is a slight modification of my earlier successful list in that I switched Legion out and put Tali on the vents (both are tech specialists).  Also, I switched Grunt out and put Mordin on escort (it doesn't seem to matter who you put on this task, as long as the other tasks are delegated properly).  My final team was Miranda and Tali this time.  Again, no casualties.  Maybe I'll stick Jacob in there as a squad leader next time.  I'll let you know how that goes.

Vents: Tali (is tech master)
1st Squad Leader: Garrus (has leadership experience)
2nd Squad Leader: Miranda (has leadership experience)
Shield Barrier: Jack (is powerful biotic)
Escort: Mordin (is adequate for the task)

SHIIIIIIIT. Failed to get Zaeeds loyalty and then forgot by the end. Miranda didn't make it as a result. Aside from that I followed everything perfectly. I didn't even know she died until the VERY end of the game. 
 
Oh wait. Miranda's loyalty can be lost in the Jack argument? That's probably where I went wrong.

Ok i will post how i did it hoping it will help someone.  This combinations has the best chances of success far as i saw :
 
Class: Soldier
Dificulty level: Insanity
All ship upgrates. (including the med bay)
All the team was loyal except jack. 
Team configuration :
Specialist : Legion
1st Team Leader: Garus
Escort: Mordin
Shielder: Samara
2nd Team Leader: Miranda
Team on the final battle: Legion and Garus.  
Do not send unloyal members as escort or use them as your final battle team ,chances are that they will die. I lost them every time i tried. 
As final team configuration u can use Zaeed and Grunt as well. They pack some serious fire power. Just make sure u have Zaeed's  loyalty.

Now here is a bit tricky. If u want to get jack's loyalty as well u will need to have full paragon or renegate points to persue the conversation. U will find it hard to get those but if u will get them after u made jack's loyalty quest u will not be able to gain back jack's or miranda's loyalty back. I had full paragon before jumping in the suicide mission and i didnt had the option tu convince jack since i sided whit miranda. So i gues u will need to have those skills full before u make jack's loyalty quest. Doing Legion's quest as a final quest before the suicide mission wont change anything. I tried all the posible combinations (game takes 20-25 hours whit the side quest too ... i spend 10 more hours exploiting all the scenarios). My advice will be to keep jack's loyalty quest to the final. 
One more thing i noticed even if i might been just some bad luck, game difficulty might influence your survival odds. Might been just a coincidence but i lost 2 members in the suicide mission after i replayed on a different difficulty level, and i used same team which worked previously whit same upgrates.
 
If you have any questions feel free to pm.

All party members survived.   
All loyalty missions completed.
75% Renegade
Vents: Legion;  First Squad Leader: Garrus; First Stage Party: Miranda and Thane
Shields: Samara;  Second Squad Leader: Miranda; Second Stage Party: Jack and Moridin
Escort: Grunt; Last Battle: Miranda and Thane

So, just reading some people's comments about losing Jack's or Miranda's trust - their trust missions were like the first ones I did, so they had they're confrontation pretty early on for me. I only had like 40 - 45% paragon points, maybe 50%. I was able to convince them to stop arguing and not lose any trust. 
 
In contrast, the Tali - Legion confrontation happened for me right before I jumped through the Omega 4 relay, so I had like 100% paragon, with like 25% renegade at that point and had no problem stopping that argument. 
 
I think the order of arguments matters - the one that happens later requires more paragon/renegade points than the first one.
 
Another thought, though - my uploaded character had full Charm and nearly full Intimidate from the last game - could this have been a factor in the conversation options? May have made my character more charismatic, and thus she needed less paragon/renegade points? Maybe?

Tried the Legion, Garrus, Jack, Miranda, Grunt, Mordin/Miranda set up and it worked perfectly. I had loyalty with everyone apart from Zaaed, which worried me, but it didn't seem to matter in the end.

Vents - Legion 
Squad Leader - Garrus 
Shields - Samara 
Squad Leader - Garrus  
Escort - Zaeed 

First play through I used: Legion for the vents, Mordin for the 1st Squad Leader, Shields Jack, Samara as the 2nd Squad Leader, and Tali for the scort. I lost Legion and Samara. It sucked. I realized Samara wasn't probably the best pick now. I had all loyalty except Miranda who I lost and could never get back. So...yeah. On my second play through, hope to get all of them out alive but I also don't want to just follow a formula so we will see how it goes!

I had Legion hack the door, Miranda lead both teams, and Garrus escort back the crew members, and I got no deaths. Just make sure you have Legion or Tali hack the door, and Miranda or Garrus lead both teams, and you should be fine. There's no dice rolls involved here.

Had everyone loyal except Jack. Had the armor, shield, and gun upgrade for the ship.   Had Tali on vents and Garrus as 1st leader. Then had Thane escort and Garrus lead again.   Surprised me that I could get it without all people loyal. 
 
EDIT: Samara on shield

Wow, after reading through this topic I don't know how I made it through the end without losing anyone. I must have gotten crazy lucky. I had everything upgraded that I could and had all the loyalty quests done before I got Legion. I did his and then went through the Omega 4 relay.

Vents - Legion  (Party: Mordin, Tali)
1st Squad Leader - Jacob 
Shields - Samara (Party: Mordin, Garrus)
2nd Squad Leader - Miranda 
Escort - Zaeed 
Last Battle - Mordin, Jack

Yeah I used  

Vents - Legion  
1st Squad Leader - Gsarrus 
1st Party - Grunt, Thane 
Shields - Samara 
Shield Party - Garrus, Grunt 
Escort - Garrus 
Last Battle - Grunt, Thane 
 
and Mordin ended up dying somehow. I did all the loyalty missions, most likely all the side missions, had almost all upgrades, and went through almost all conversations with all characters. I wonder if Mordin dying is a bug or something, because Joker said no casualties when Shepard asks about the team right before the end, but then all the sudden Mordin was dead at the end of the game.

Here is what I have:

Tali and Legion work for Tech Specialists.

Garrus does not.

Samara and Zaheed do not work for First Fireteam leaders

Garrus does 

Mordin does not work for Second Fireteam leader

Garrus does (I used him twice)

Jack works for Biotic Specialist (You may need L5 implants, I had them when I did it.)  
 
Mordin and Zaheed work for escort (Use Mordin because he is very likely to die.) 
 
In the final battle I've taken Garrus, Legion, and Grunt with no problems (If you don't have the ability for your class, Armor Piercing rounds are great for taking down the final boss and the Collectors.) 
 
Both Tali and Mordin died in while defending the door. 
 
Best advice? Keep weak support character in your team and use people with upgrades or who are known to be experienced in the field. 
 
Modrin is good at stealth so he makes a good escort. Garrus lead his Archangel team, he makes a great leader.
 
On the flipside Jack had the L5 implants so I used her for biotics, and I'm sure Legion and Grunt have a better chance of defending the door without dieing due to either Armor or Weapon upgrades.

i didn't get zaeed's loyalty will i be able to do it still?

" None of you are interested in just playing the game and seeing how things turn out? When I get to it, if everyone lives I'll be happy. If a bunch of them die, then I'll live with that  "

Just got through (was fuckin' on the edge entire time) and nobody died!  I had quite a few upgrades (all the ship ugrades, a lot of armor and weapons, a lot of the squad specific upgrades, and everybody was loyal except for Zaeed).  
Vents: Legion (needed somebody with tech specialities, so I was torn between Legion, Tali, and Mordin.  Went with Legion for his cold efficiency) 
1st Squad Leader: Garrus (wanted to give him a chance to shine with his squad-leading ability.  He did not disappoint) 
Escort: Mordin (figured he could handle it and I wanted to give him something to do.  Luckily it worked out) 
2nd Squad Leader: Miranda (wanted to give another character a moment in the sun.  Knew that her and Jacob had good experience with leading teams) 
Biotic: Samara (Jack was pissed off because I bailed on her for Tali, so I didn't want to jeopardize the mission.  Knew Samara had great skills) 
My squad: Thane and Tali (1st leg), Jacob and Tali (2nd leg), and Thane and Tali (final battle) 
I couldn't be happier with how things went...

Combination #10 with Mordin/Garrus in my crew for the final battle worked for me.

OK, I have 2 questions coming from a friend of mine. He had everyone at full loyalty, and then lost Miranda's loyalty because he coudln't pick either of the Paragon or Renegade choices during that one fight, (You know, the one in Miranda's office). He also doesn't have Zaeed's loyalty because he didn't have the Paragon levels for that either. So, 
 
1. Is the 6th strategy on that list feasable? Everyone is loyal except Miranda and Zaeed. Putting Miranda as the squad leader for that part will probably kill her because she isn't loyal. Jacob is really the only other choice... Unless you can use Garrus again. Can you?  
 
2. Does Zaeed affect this? He's not loyal, and if he dies, does it still count? He is DLC, which is making us confused.

I had Legion do the vents and he ended up dead. Was  it because I had Jacob lead the other team?

Escort: Use this as chance to get one of your weaker characters out of the fight. Mordin and Tali have died several times for me in the final battle, so I'd recommend seending one of them unless you want to take them into the final battle.

I think i may have something on whoever goes thru the pipes. 
 

I lost Zaeed and Legion and I'm not playing the whole game through to change it. Zaeed was a frigging DLC dude and Legion is one of many, no biggie :D I really didn't know why I lost Legion. I didn't assign him for anything and he was loyal and decked out.

It's weird that everyone's saying you have to use a Paragon dialogue choice to diffuse the Jack/Miranda fight.
I just chose the middle option (not paragon or renegade), which was something like "Both of you, chill out" 
And I didn't lose loyalty for either one of them.