I'm going to choose the same as I did for Fallout 3: 
Small Guns 
Repair 
Lockpick 
These work best for me. What about YOU?

Speech, repair, and lockpick. I love being to talk my way out of shit; it makes me feel real slick.

Man, I haven't played Fallout in a while. Definitely small guns and speech. Maybe science for the third one. I dunno. Lockpick and repair are really useful, but I loves me some science.  
 
Edit: Is science even one of them? I just remember there being one for hacking computers. 

Science,repair and medicine

" Science,repair and medicine "

Small Arms
Lockpicking 
Stealth
 
I'll concentrate on those three and science and repair

Small guns and speech, then either lockpick or repair. 

Lockpick Science and Speech  served me well in the last one, should do the same in Vegas.
(might drop lockpick if there's a skill that helps you in the casinos)

Lockpick Science and Speech  served me well in the last one, should do the same in Vegas.
(might drop lockpick if there's a skill that helps you in the casinos)

Gambling
Small Arms
Speech
 
With a super-high luck stat.

" @NekuSakuraba:  I mean a new secondary stat IF they put one in. (gonna put  as much into luck as I can afford to already), plan on getting the "get banned from all Casinos" achievement in my first playthrough. "

Repair, Small Guns and Medicine. I think. Or Speech.

Small guns, Speech, Gambling. James Bond of the wasteland.

Scavenger Pro
Stopping Power Pro
Ninja Pro
 
@Haru48 said:

" Small guns, Speech, Gambling. James Bond of the wasteland. "

Small Guns and Repair... the third one I'll probably just pick on a whim.

" Science,repair and medicine "

Small guns, science, repair

Yup, and then I'm going to put so that I have 9 points in Intelligence

Medicine 
Small Guns 
Big Guns
 
Worked out pretty well for me

" @TheSeductiveMoose said:

Yup, and then I'm going to put so that I have 9 points in Intelligence

Ahh, the ol' 9 points in intelligence :) "

Clearly small guns and repair and then probably speech because I like talking my way out of things when I can but maybe lockpick?

Lockpick
Small Guns
Big Cawk

Science, Repair, Lockpicking.

" Speech, repair, and lockpick. I love being to talk my way out of shit; it makes me feel real slick. "

Small guns, science, lockpicking.

I just know I will spend at least an hour gawping at the screen undecided which 3 to choose. Leaning towards Lockpick, Science and Speech, but if it's anything like Fallout 3, having both Lockpick and Science can be a waste, so might switch one out for Repair, Sneak or one of the combat skills. Decisions.

You guys do know that small guns is no longer a skill right?They ditched it in favor of just having a guns category ,and energy weapons category.It's the only skill that got kicked out, though now they have survival.So I am thinking survival, speech, and sneak.I like to get the drop on my enemies.

small guns 
medicine  
speech

Just like Fallout 3
1st - Lockpick
2nd - Speech
3rd - Small Guns

there is only 1 skill I care about tagging and that is addachivement.

lockpick, repair, survival.

New Vegas has grouped Small Guns and Big Guns into one Skill simply named Guns. So mine'll be: 

• Guns
• Lockpick
• Repair

Small guns, repair, and lockpick.

" Speech, repair, and lockpick. I love being to talk my way out of shit; it makes me feel real slick. "

Guns, Speech, Repair. 
 
 
Though I might go Unarmed. That's always fun.

" @Lemoncookie01 said:

" Science,repair and medicine "

Yup, and then I'm going to put so that I have 9 points in Intelligence and 6 points in agility. "

After much thought: 
- Speech
- Lockpick
- Guns

Small Guns
Speech
Science

lockpicks 
speech 
melee weapons

Guns *its no longer called small guns from what I've read* repair and sneak. I would do lockpick but if its anything like fallout 3 lockpicking isn't that hard in the end and I can just quick save before a lock and then autopick and If I fail and break the lock just quick load and do it over and over again. As well one of the main ways I get caps is by stealing its the easiest way to do it and rarely gives you a big boost in evil affinity and its one of the few ways to get some of the more unique weapons in fallout 3 like the terrible shotgun, and the robotron and string knife...ect I don't expect it to be much different in vegas.

No love for Energy Weapons among the crew here? Shame. i'm going to tag Speech, Energy Weapons, and probably Science. I might switch out the last one for Medicine or Repair though, I'll have to think about it.

Speech, small guns and medicine.

Stealth for sure.... 
 
Speech and Repair maybe 
 
or Small Guns and Repair

Firearms
Survival
Speech
 
I'm going with survival cause I'm doing hardcore right off the bat.