Its hard to remember everyone in Cross, haven't played the game in a few years. My fave party is the terribly broken party of Serge, Glenn, and Guile. Surprisingly, they actually make the final battle difficult as its kinda easy to accidentally kill the final boss before using the Chrono Cross.

I also love using Norris, Harle, Fargo, Kid, Karsch, Korcha's father, and a few others I can't even to begin to remember their names. I plan to play the game again once I get it back from a friend.

Trigger, I use Crono, Frog, and Magus. Very balanced and broken party. The Duel Techs between Frog and Crono really help when you need a single target to die now... I use a variety of teams though. Sometimes I like using Lucca instead of Magus or I will take Magus, Lucca, and Robo together so I have access to the most powerful Duel Tech and Triple Tech in the game. Marle and Ayla probably receive the least amount of love in my playthroughs.

The amusing thing was I tried to come up with a bad combo for Trigger and can't for the life of me come up with anything so terrible you couldn't win. The closest I can come up with is:

Crono, Lucca, Magus
Pro - High damage output, Luminaire, Flare, and Dark Matter are easily the three strongest single tech abilities in the game. Crono and Lucca also have insanely powerful Duel Techs...

Con- No healer means you will be burning through items. Lapis are rare and thus healing your whole party in a pinch becomes increasingly difficult.

Magus, Ayla, Marle
Pro - The strongest mage, brawler, and healer

Con - Marle can't heal everyone and has no healing Duel Tech with Ayla. Magus is a bit weak in the defense department, Ayla is weak in the Magic Defense department and Marle is pretty bad in both areas. You need good equipment to make this team work and Marle needs to spam haste while Magus spams MBarrier. Not exactly the most efficient team...