My cat is weirdly smart and he will play fetch. He's really good at figuring out whatever new "game" I'm trying to play with him. Some more examples of his social intelligence:

- He will play tricks on me. He's learned to paw at the patio door to show that he wants to be let outside. If I'm standing outside and he's inside the patio door, he will paw at the door as if he wants to be let out, and then run away as soon as I open the door. He will do this over and over and turn it into a game.

- He's VERY vocal and has some understanding of how a conversation works - I talk, then you talk. I only realized this because he hates car rides, and this is the only time he interrupts me.

- He's really good at understanding tone and body language, so usually he can figure out what I'm trying to tell him to do, even if it's a new situation using new words. For example, I was outside while he was playing, and a neighbor walked up to say hello. I told him "it's ok, you can go say hi" and he walked up to her and sniffed her hand.

It's really weird, I knew cats were intelligent but I had no idea until I got this cat.

Beluga whale playing fetch: https://www.youtube.com/watch?v=7uMSl28_8Rw

I don't know if it requires training, but here's a red fox playing fetch: https://m.youtube.com/watch?v=EchdjzFO-7U

Burmese cats are famous for playing fetch and behaving a bit like cat shaped dogs.

My current cats won't, but I've had cats in the past that enjoyed playing fetch.

Interesting, I had never seen that before until I read this comment and went googling!