After about a week of numerous restarts I finally settled on a team. 2 skill monkeys and 2 combat dudes. I focused on getting skills to to open all containers because I'm curious, but most of the loot is shit - due to bad luck? - so that was probably unnecessary.
I also like to keep things simple the first time around so no additional recruits, mainly because I don't know who they are so I can't plan around them, I leave them for a subsequent play through.
Infiltrator
CLASSIC: 2 1 4 4 6 10 1
AP: 9
CI: 12
Weapon(s): 2 points in SMG from the start, leaning towards Energy now.
Skills: Perception, Demolitions, Lockpicking, Alarm Disarming.
Doctor
CLASSIC: 2 1 6 2 6 10 1
AP: 8
CI: 14
Weapon(s): Sniper Rifles, Handguns as back up.
Skills: Surgeon, Field Medic, Computer Science, Mechanical Repair.
Tank
CLASSIC: 2 1 4 10 6 4 1
AP: 9
CI: 12
Weapon(s): Shotguns.
Skills: Hard Ass, Brute Force, Safe Cracking.
Assault
CLASSIC: 4 1 6* 6 6 4 1
AP: 9
CI: 15*
Weapon(s): Assault Rifles.
Skills: No main focus except for Weapon Smithing, just leveling stuff when need, got random points in Outdoorsman, Animal whisper, Toaster Repair. Had to OH SHIT!-level Surgeon when my doctor died and noone else could spare the skill points.
* +1 Thanks to
Aberforth!