The original campaign, Shadows of Undredtide, and Hordes of the Underdark work just fine in coop. I don't know about the other included modules because I haven't played them.
I suggest picking one player in the party to do all the talking; occasionally the NPC's assume they've already talked to you when they actually talked to someone else in the party. It doesn't break anything except consistency though. If you have a bard or other player with high charisma and social skills, let them do the talking.
Each player can have their own henchman (2 each in Hordes of the Underdark). I have seen a glitch, though, where the henchmen in the party forget who their master is and randomly decide to follow a different player in the party. It's no big deal if you're just using the henchmen as extra firepower, but if the inconsistency bothers you, it's better to either not take henchmen along at all or to find a different module that handles it better.
Post edited November 01, 2010 by fidvo