I was doing the dragon den... and I had my party set up with my really good party, a decent party, then a mog party
team 1:
Locke, Edgar, Sabin, Cyan
team 2:
Terra, Celes, Setzer, Relm
team 3:
Mog, Strago, Gau, Shadow(as Kappa)

turns out my Mog team killed 6 of the 8 regular dragons... but solely because of shadow as Kappa. Strago and Gau died easily, mog survived a little longer, but Shadow survived everything. I love having a Kappa, and Shadow is definitely the best for it. But anyways, battle wise my preference would be from #1 to last

Cyan(Swd Tech is awesome, especially after learning Quick)
Sabin(Blitz is great, can heal, attack everyone and hits hard even at low levels)
Locke(4x Mug)
Edgar(auto-crossbow on all, or drill/chainsaw)
Shadow(as Kappa)(multi-jump for 9999x2 or 3)
Relm(for magic and sketch is occasionally useful)
Celes(for balance, and runic can be a savior, ie enemies you're about to kill that you know cast a spell when they die)
Setzer(Slot can be good, but typically I end up with so much money... GP toss)
Mog(Dance is fun. Earth Blues my fav has hard hitting skills and good healing)
Terra(Trance/Morph is useless in the end, as at higher levels she's strong enough to do 9999 anyways)
Gau (pain to go to the veldt and train, then you can't control him in battle, plus he has no regular attack option!)
Strago (more of a pain to learn lores, and magic can do all of it just as easy)
Gogo(can do anything, but no stat boosts and half as powerful)
Umaro(Can't control, and really does nothing special)

THE JACKEL