i play with them all the time. My cockatoos love to bounce around and go upside down. I can even hold my cockatoo upside down and she play dead and then bounce right back up. My Cooper U2 male love it especially, he bounce himself to get me to bounce him in the air and love going upside down and back up and he do his playful playful squawk and then he will squeak and bounce his head up and down to get me to do it again. My female love to play fetch I throw the ball, or bottle and she bring it back and even love to chase and play pee-a-boo and hide. My male cockatiel does as well and love to be swing when he on me. It is not surprising with him, as he love the swing in his cage as well. He also love to chase my female cockatiel around and they play. She even climb his back, not to mate, but as he walking and then they chase each other and even throw the small ball at each other and etc. My female U2 play puzzles and color cup back in same color and also she throw the ring back in same row. I built a tower of cups and she knock them down and throw the cups around. It funny when she chase Cooper as they will have umbrella crest feathers up hopping around and go back and forth.
Now Frankie my little corella is the funnest as he actually play pee-a-boo and say it. He will fly somewhere and hide and when when I get close he pop out saying "pee-a-boo", or he go "hi my baby" obviously he had a female owner before. Then if I stop him from tearing something up. He go "Shame on You". He loves going upside down and he just hang on my arm like that for a few seconds like my Cooper they are my two most acrobatic birds I have. Frankie my little corella cockatoo loves to hang off of pretty much everything. He a very active bird and he fly everywhere. My Cooper male U2 can fly as well, but prefer to use me as his Uber and point and leans the direction he wants to go to, or he walk over to the area.
I remember when first meeting Frankie to train him at the time as he was know to be to aggressive and they didn't know how to deal with him. Turns out he only was aggresive when they had him in his enclosure, or cage. They when to go let him out of his cage and he flow out the front door and she didn't know he could fly and thought he was clipped. I felt sorry for him then as knew they didn't let him out as they would have known he could fly. Thankful he was flight train at some point, as whistle and he came off tree he was on and landed on my arm and bought him back inside, thankfully without biting me as first time meeting him. One of the reasons a year later I decided to adopt him off of them.
He would bite the last owners severely including one person lip and another one in the hand and arm and latch on and they claimed he wasn't active and liked being in the cage? Yhea right. Since I known him while working his behavior issues out. I only was bitten once, while the first time of me instead of owners getting him out of enclosure, then tried again to get him to step up, but with chopstick to let him go after stick instead of hand and never had a issue again with him. He is the quickest learning bird I trained in years and talks better then most African grey I dealt with. He knows a few full sentences and pretty much what they mean. At night bedtime he go "nighty night", when I put him in his cage for the night. He the most active bird I have beside my male Cockatiel and U2's next.
My female U2 named Baby is the most trouble marker of them all. She the one that has to figure everything out.