I admittedly don't know much about the Monster Hunter series, so this is just an initial list since I don't yet know how much of the music is shared between each of the installments.

First Generation

Monster Hunter / Monster Hunter G / Monster Hunter Freedom

Second Generation

Monster Hunter 2 (dos) / Monster Hunter Freedom 2 / Monster Hunter Freedom Unite

Third Generation

Fourth Generation

Monster Hunter 4 / Monster Hunter 4 Ultimate

Spinoffs

Monster Hunter Frontier

Monster Hunter Dynamic Hunting

Monster Hunter Online

Monster Hunter Stories

Monster Hunter X (Cross)