coyotes: I use #2 longs and #2 coils almost exclusively. The longs have booster springs added and I center-mount and swivel the heck out of 'em. I have both Victor and Blake & Lamb modesl. For the #2 coils I have Dukes and Montgomerys. I also use some #3 longs and #3 coils once and awhile. I have those in Northwoods and Bridger. I really like the #2 dogless Monty's I have, I also use some snares
Cats: same as coyotes
Fox: #11 longs, snares, 1-1/2 coils, and #2 longs
Coons: #11 longs, snares, 1-1/2 coils on drowners, reverse-chained #1 longs with booster springs, and coon cuffs, use some #220s too
mink: #110 or #120
muskrat: #110 and #1 longs on drowners
beaver: #4 longs on drowners, #330s, snares
I've caught possum and skunks both in every trap model I own now except the #330. And now that I've said that I can count on one visiting a beaver set this fall too, I bet.