I don't mind seeing a movie that continues the characters, though it doesn't need to be called "The Godfather Part IV".

Maybe they could just create a story based on Vincent Corleone's reign as the new Don and just call the film "Don Vincent" - I seem to recall that FFC supposedly wanted to originally call GF2 "Don Michael". Anyway Godfather 1,2 and 3 were about Michael Corleone anyway. "Don Vincent" could be seen as being a spin-off of the original story perhaps? Or does that sound like it would cheapen the trilogy?