It certainly depends on the cat. Some are really playful and love games and toys. One of my cats will fetch, we didn't even have to teach him, he just did it. And he will jump really high and do half flips in the air for napkin rings covered in yarn or black plastic spoons, lol. Hermione, my new 5 month old kitten who turned up in my yard pitifully skinny, will play all sorts of games.
I don't really agree with outdoor cats. Its too dangerous for them, especially to roam the whole neighborhood. And indoor cats are generally more bonded with their owners, and the owner to the cat, because you would spend more time with indoor cats.