My dogs don't even play that well with me!
Blizzard (60 pound, 7 year old, fixed female Alaskan Husky) is the smart graceful one, but she does not play well with other dogs. Buddy (130 pound, 3 year old, intact male African Mastiff) is the not too bright klutz, but a very playful klutz.
Buddy is the kind of dog that will pick up a toy that Blizzard is standing directly over, lifting both the toy and Blizzard off the ground. Then look at me as if you ask, "why is Blizzard on my back?" Blizzard is not amused.
Blizzard, on the other hand, has aggression issues. She attacked Buddy when he was just a puppy, and I had to keep her on a muzzle if I left them alone together. They have a good relationship now, but only because Buddy is twice her mass. If she could dominate him, she would.
She will allow Buddy to take her toys away from her, but only begrudgingly. Her favorite game is to take one of Buddy's toys and play keep-away. Buddy isn't all that bright, but he is tenacious. Buddy will follow her around all day if necessary, looking for an opportunity to get his toy back. If she puts the toy down to get a drink of water, nibble on some food, or is otherwise distracted, Buddy is right there to collect his prize.
Of course, that "prize" could be a toy, bone, or a piece of paper. It doesn't matter to Buddy. If Blizzard has it, he will want it. Five minutes after obtaining his prize, he forgets all about it, or he drops it and Blizzard is there to take it away. Then the game of keep-away begins all over again.
When I play with my dogs, it starts out with nice play biting and slowly builds to more serious biting. I just sit on the floor and make swipes at their paws, while they try to stop me by biting my hands and arms. Blizzard is the best at this game. She is agile enough to avoid my swipes, and fast enough to dart in and bite me. Buddy, on the other hand, is only able to bite my hand or arm, after I grab one of his legs.
I can only play with them this way for about 5 to 10 minutes. After that, they are really starting to bite hard. Usually, I can stop the game before any skin (mine of course) gets broken, but not always. Both dogs love the game, and understand when it is over. They will both come over and lick my face to let me know there was no hard feelings.
Buddy would get along with any dog or cat of any size, but he is still pretty young and not very agile. If he hurt anyone at all, it would be entirely accidental due to his own clumsiness.