Okay, so Fire Knight key is multihits and turn meter decrease. If he gets a turn in, he heals himself. So damage like poison and HP burn is pointless. Visix, Scyl, Armiger, and Alure are all great for this. But you'll need a hitter for the waves. I would go with Ronda, Visix, Scyl, Fatman, and either Alure or Armiger depending on the Affinity. You do have a few that I don't recognize right off the bat, so someone else may have a better team recommendation.
Dragon-Deliana, Brogni, Ronda, Fatman, Alek
Spider-Scyl, Armiger/Alure, Visix, UDK, Brogni
Ice Golem-hopefully someone else can help with this one. My Ice Golem takes 5 minutes. It's not a good team and I'm not really very good at figuring him out.