Not just games that happen to have anthropomorphic animal characters, but ones obviously written by or for furries. They are never high budget games, but some of them are pretty good anyway. Here are some that I have played and liked recently.
1) Tails Noir (previously called Backbone, then they changed the name for some reason). A point-and-click adventure game. Nice pixel art, great characters, and an interesting story. Kinda runs out of puzzles early on, but still fun. Although clearly furry, it's a normal game.
https://www.gog.com/game/tails_noir
2) Cobalt Core. It's a rogue-like deck-builder, but I think that description sells it short, as the ship-to-ship combat mechanics are quite novel. A nice combination of relaxing and challenging. It has super-cute characters and a heart-warming story. Another game that normal people wouldn't bat an eyelid at.
https://store.steampowered.com/app/2179850/Cobalt_Core/
3) The Necromancer's Pact. A weird physics-based ball-flipping game. Not exactly ground-breaking gameplay, but you don't play this for the gameplay, you play it for the weird physics-based jiggly fox parts, which it has in exaggerated abundance.
https://adinsteinx.itch.io/the-necromancers-pact
4) Kink Jinxed Halloween 2. Now we're getting into the really depraved stuff. This is a point-and-click adventure game, but designed to appeal to people with specific fetishes. Even if that's not your thing, it's fricken' hilarious, and cute.
https://bubblegumdrgn.itch.io/kink-jinxed-halloween-2
5) Night Adventure. The author describes this as an "animation test", not a game, but you might still find it appealing if you're a perverted fox lover. Calming, and maybe even wholesome, as far as a fox molesting simulator can be.
https://berside.itch.io/night-adventure-test30 posts and 67 images omitted.