I feel like Outer Worlds becomes a lot more enjoyable after a mindset shift from “this should be a Fallout clone” to “this is like an FPS version of KotOR.” Avowed might turn out the same way since there is already so much expectation that it’ll play as a Skyrim 2.0
The two ‘Cattails’ games come to mind, singleplayer sort of ‘warriors cats’ type town-sim rpgs. I havn’t played the second but the first reminded me of Stardew Valley or Animal Crossing but themed around feral cat clan wars.
The ‘Shelter’ series also comes to mind, specifically ‘Meadow’ is online, the others are singleplayer.
More loosely theres a bunch of online dinosaur simulator games like ‘The Isle,’ though I think they only let you play as dinosaurs and not other animals.
As far as games specifically like Animal Jam I’d recommend keeping an eye on ‘Frog Paradise.’ It’s an upcoming Club Penguin clone that looks promising.