Oh gee, lets see here...
Cottontails with 38s (either the wimpy 158 roundnose or the better SWC).
Coyotes and such (which includes badgers, groundhogs and raccoons) with the 357 and darn near any bullet but 125 JHPs preferred
Inside-the-barn pigeons and rats with shot loads (fun!)
Skunks and (he changes to a furtive whisper)
feral cats
To paraphrase some dumb movie line: Wear it and the targets will come.