My GW mac LOVES tug of war as well...
She has a doggie rope toy. Sometimes she preens it. Sometimes she latches onto it and tries to rip it away from you.
You basically just waive the soft end in her beak, and she decides what she wants to do with it.
She also plays "fetch" with that toy, with my daughter, Sarah.
She also throws it at Sarah i.e. plays fetch + catch...
Throw a blanket over them, they play peek-e-boo...
Mine also does the evil laugh, and gets down off her cage, and chases Sarah around the room. Does this one with my girlfriend as well... (This is only a good game to play with them if we are SURE they're actually playing, and not fixin' to attack! Fixin' to attack is a VERY BAD game to teach a big mac!)
She also plays wiffle ball. Sometimes she'll catch and throw. Sometimes she'll catch, and tear the ball into tiny pieces...
AND DANCING... another favorite. Turn on the music and bob your head...
I knew a mac that liked to be swung by his feet... he actually taught ME that game.
Rock A bird... i.e. lying on his back in your arms getting rocked.
Beak wrestling... "I got your face."
And of course, playing with toys and props...
(OTHER THAN THAT, THEY JUST KINDA SIT THERE...

)
WENDY CRAIG has a post on her web site about a flighted RFM who loved to play catch... Only in this case THE BIRD was also THE BALL! Fly to one, fly to the other one....
So, yeah...