I haven't played MM1, so I can't comment on what the game actually *requires*, but any party that has both types of magic and a Robber *should* work. This could also be said to be true for MM2-5 as well.
Anyway, here are the minimum party requirements for MM2-5, assuming the following rules:
* No reliance on random treasure. (Random treasure can replace missing spells, but only if you are lucky enough to find it, and I think most players wouldn't find it fun to reload until an item that can cast a specific mandatory spell shows up.)
* No using any "cheat" codes in the mirror for the games that have them. (For example, no using it to warp straight to the final boss.)
MM2: Your party must contain at least one non-Robber. The game can be beaten with only Robbers in the final party, but you will need to bring along a member of another class to complete a certain quest. (Oddly enough, this game is shorter if your party has less class diversity; the more different classes in the party, the longer it takes to beat the game.)
MM3: I believe Walk on Water is almost required, so you will need a Druid or Ranger. (I note that the default party contains neither class.) There is a way to get Thievery on arbitrary characters, and it can be done without needing to already have the skill (though it's not recommended for a first play through).
MM4: Teleport is required, so you need a Sorcerer or Archer. (For some reason, that spell is not on the Druid list, even though it costs less than 11 SP; considering that the spell is actually required, I consider that bad game design.) (Is Thievery required? If so, you also need a Robber or a Ninja. Even if it isn't required, I would still recommend taking one along.)
MM5: Jump is required. Fortunately, that spell *is* on the Druid list, so your party just needs one out of Sorcerer, Archer, Druid, or Ranger. (Again, is Thievery required?)
Swords of Xeen: I don't remember any spell required here (though my memory could be wrong). I note that Thievery is *not* needed in this game and is pretty much useless.
I have not played any later games in the series, so I don't know if there are any similar requirements regarding party composition in those games. (Apparently, at least some of them have a Fly spell; is that spell required?)