Depends. 22LR, as a lead bullet instead of the rat shot I assume that is, will take down pidgeons, squirrels, rabbits, racoons, possum, skunk, moles, ground hogs, and more around that size, but you need to aim for the vitals and with something like a big racoons it needs to be a good shot in the brain. Anything larger and it needs to be an incredibly well aimed shot and you must have a lot of luck too. It can and has killed people (plenty of them), but there are far better calibers for that in case you meant for defense. I personally would suggest anything under 32acp for those purposes and 32acp is a minimum.

As a general rule, if it weights at or under about 8 pounds, a 22LR will reliably kill it if you are precise in your shot placement. Above that you’re probably gonna wanna step it up a little. 410 or 20 gauge works too.

5.56 is good for coyotes, bobcat, and other game animals not quite medium game sized. Plus 5.56 doesn’t damage the pelts.

For medium game such as deer, hogs, etc you’re going to want a full powered round. 308, 44 magnum, 30-30, generally 30 cal or larger. 12 gauge works too if it’s buck shot or slugs.