I’ve never used an Apple TV, but my smart TV is a Roku and it does most of the things you’ve described. I use Crunchyroll and Tubi and a few other streaming apps including Apple’s. I use Prime Music and it has like 99% of the albums I want to listen to. Obviously it doesn’t have Apple Arcade, but I mostly just play games on my phone anyway. I even put a Roku box on an old CRT TV that I use sometimes for watching older shows in SD format lol! I don’t know if this is the type of answer you were looking for but I hope it’s helpful.
I don’t think you should be using it anymore if it’s getting hot enough to cook a pizza…