I'm making mine a five man band, so I can fill all the cliche slots.
We need someone who's well-rounded, reliable, and most importantly, has leadership skills.
Party Leader - Soldier, from Team Fortress 2
Someone maybe a bit morally gray, possibly with sneaky qualities, the team's second-in-command. The dude who complements the leader, and can take over leadership, for short periods of time.
Right Hand Man - Max from the Sam and Max games, and comics.
Now we need brawn. There will always be a need for raw power. If we can find someone dumb, all the better.
The Big Guy - Minsc from Baldur's Gate 1&2
Time for the smart guy. We obviously need someone to do all the thinking. A degree isn't necessarily needed, but an understanding and an interest in technology is a must.
The Brain - Ork Mek Boy from Warhammer 40,000
Which leaves us only with The Chick. Someone for moral guidance, and a possible love interest, but with the main function of getting into trouble. Probably not very good at fighting, or pretty much anything.
The Damsel in Distress - Guybrush Threepwood from the Monkey Island series.
I just realized I've probably got the oldest team here. Apart from the dude who's team only consisted of Jesus.