Resource Routes - PUT vs PATCH

I'm pretty sure most of the APIs I've used were designed by either idiots or computer scientists that are so advanced they can no longer speak to other humans.

I did look up "idempotency", and it seems like something that I already expect for certain requests.

I'd like to see some examples of these sane RESTful APIs you speak of. Do you have any favorites?

GitHub's is a widely praised one, but it has a LOT of endpoints, so it is easy to get lost in it. Unfortunately, I don't have other public examples. :/