There's a colony of "feral" cats at the wildlife center where I volunteer. (I put feral in quotes because several of them will interact with people, unlike most ferals, and we trap, neuter, and release as many as we can). Anyway, we put out food for the cats every day, but they friendlier cats will stalk us and beg for mice (we feed mice and rats to the raptors). We also can't set the tray down anywhere outside of the cages, or else the cats will steal the mice. One even stole a whole rat from me once!
I'd buy mouse flavored cat food without hesitation. I'm guessing they don't make it because it would probably be more expensive, since you don't get much meat from a mouse.