After playing Persona 3 and watching Persona 4 I noticed that every single goddamn thing that I found wrong or annoying with Persona 3 is absolutely fixed in 4. 
 
Don´t hate me if I accidentaly spoil something from either P3 or 4, because I warned you right here.
 
Let´s recount:
 THINGS PERSONA 4 DID BETTER
1) You can control your entire party, so you won´t blame the stupid AI on your deaths.
2) Boss fights have way more context. 90% of the boss fights in P3 were "Hey, there´s a monster who looks like all the other ones but is somehow stronger", while in P4 you get the whole scene regarding the person´s inner feelings and all.  They all also look completely unique.
3) When you are in the items menu and wish to use 5 medicines on a dude, you don´t have to select the item again every single time.
4) When making a new Persona and it automatically registers, it registers WITH all the skills it inherited, and not only the skills that came with it. 
5) You can check what each skill does when making a new Persona. Honestly, if I hadn´t seen P4 first I would have been totally lost.
6) All party member social links available.
7) No Fuuka or Fuuka equivalent VA-wise  
8) You have control over which skills your character´s personas keep and lose.
9) No stupid excuses to keep people off your party. What really annoyed me in P3 and kept me from trying new party members was the fact that they constantly decided to take a vacation, betray me, or die. I was so happy that the party I originally went with stayed put, story-wise.
10)And also, I liked the story better (I accept this as being IMO, you may disagree) 

 
So what I´m saying is, if they keep this up with P5, learn from their mistakes and fix everything about a  game that was great nonetheless...well... I won´t be buying FFXIII, that´s for sure.
 
EDIT: GREAT THINGS, I meant GREAT THINGS, can a mod edit the thread title?

See?  And people complain about game sequels. 
 
Although, I don't agree with you on the story or characters, but as you say, it's an IMO thing.  I, for one, liked Fuuka. 
And the rumored PSP port of Persona 3 fixes a few of the problems you had with the game.  "Persona 3 Portable? What?"

I just want new game plus to let me keep my money and level like in Persona 3 so I can recall all really strong dudes and just rush through the dungeons to get to story. Pulling out Satan and Helel(Lucifer) in Persona 3 and then just using Armageddon broke that game way early on and I loved every moment of it. 
 
Also, I think the social links need to be better. Persona 3's Links were alright, and I found them more interesting than the P4 ones, but both sets of links boiled down to "I have problems. Talking to you makes me solve them on my own. I love you." 
 
I'm not so sure about the all party member S.Link. I liked how in Persona 3 only the female characters had S. Links and to even initiate them you had to have certain stats high enough. In Persona 4 since maxing party S. Links equals true Persona, it's fine, but I liked it better when the cast of Persona 3 got their True Persona through their own means. Giving all party members an s. link would just make it so there are less NPCs to interact with, and that's something I like about these games. 
 
And in P3, really only one party member wasn't permanent. Everyone else was fair game. 
 
And I liked Fuuka's voice. It's a lot less annoying than Rise. And I LIKE Laura Bailey and I'm saying this. 
 
So I agree with parts of your list, anyway.

"See?  And people complain about game sequels. 
 
Although, I don't agree with you on the story or characters, but as you say, it's an IMO thing.  I, for one, liked Fuuka. 
And the rumored PSP port of Persona 3 fixes a few of the problems you had with the game.  "Persona 3 Portable? What?" "

 @FluxWaveZ:  
 I knew that each shadow was of a diffrent arcana, but I didn´t know how is that significant in any way.
The average joe doesn´t know what the heck a fortune shadow or a judgement shadow is supposed to look like, so he wouldn´t care if it looks like it or not.
 
And about the other thing,  Vinny and Jeff got rid of Masukukaja, everyone else said that it would be a bad idea. Just because the characters in P3 replace it the right way doesn´t mean every player will agree with it. I for example would have liked more Mediaramas in my party, but they were replaced.

"  @FluxWaveZ:  
 I knew that each shadow was of a diffrent arcana, but I didn´t know how is that significant in any way.
The average joe doesn´t know what the heck a fortune shadow or a judgement shadow is supposed to look like, so he wouldn´t care if it looks like it or not.
 

" @VelvetLore04: I kind of diasgree about the social links.  I think it's way more interesting to get to know the members of your team than others.  One thing I didn't like is that you could be best buds with Yosuke and having Yukiko as your girlfriend, but when it's like that it feels as though it breaks up the team feeling.  Maybe if they made it so that there's actually no one in the team that has their own social links, but make the Fool s. link more significant.  Each level up of the Fool s. link, for example, could be a different team member revealing some dark secret to the rest of the team instead of short, bonding moments. "

" @VelvetLore04:  Really? They were supposed to look like the cards? I was expecting something way more deep like, if a fortune teller pulls a strength card for you it means you are handsome, with long brown hair and an eyepatch, and that´s what the boss was based on. I got some Googling to do now,  =
 

" See?  And people complain about game sequels. 
 
Although, I don't agree with you on the story or characters, but as you say, it's an IMO thing.  I, for one, liked Fuuka. 
And the rumored PSP port of Persona 3 fixes a few of the problems you had with the game.  "Persona 3 Portable? What?" "

Actually, In Persona 5 i thought of putting Nanako as a playable character. Of course she's all grown up......... and Shu also a playable character now a teenager...... and i was hoping for Igor to cut his nose a little bit... Just Kidding ^_^.................   And i also wanted that you can save inside a dungeon you know like a quick save ^_^