My girls like to play fetch-me doing all
the fetching when they throw their toys (they never
tire of this!
), peek-a-boo, clicker training new tricks, learning new songs & words, they like stories read to them, playing basketball on their playgym, ring toss, playing on my shoulder-I sometimes put on a Polly-Wanna-Necklace and let them play with that or I have a certain t-shirt I let them destroy-they love
to rip the threads out and put holes in it, I mist their wheatgrass and Juji loves to take a bath on/in it, I put them on my shoulder and let them look out the window-we have flowers & multiple bird feeders on our patio and they like to watch & talk to the other birds, I let them chase me and when they try to land on me I duck down and they go nuts and circle wildly, they love to nap on my shoulder when I am online, sometimes I put cartoons on for them, etc.
I have a book of many tricks you can teach them-to shake hands, dance, roll over, do somersaults, rollerskate, basketball, play dead, etc. It is called The Click That Does The Trick.