One of our favorites is 'hide the food'. Penny sits and I put a piece of food near her nose so she knows what she's looking for. Then she 'waits' while I hide the food at the other end of the house, making sure to choose places that offer her a challenge - for instance, up high, so she has to stretch to find it, or behind half-open doors so she has to nudge them open.
Another game is what I call 'chasey', where I chase her around the house to get the tennis ball from her, then throw it (gently, lol) for her to fetch. She gets it and runs away from me. The fun part is that if I don't chase her, if in fact I run away from her, she pursues me and then I'll do a sudden about turn and leap on her to grab it.
There's one important rule. The green mat is 'barley'. What that means to us is that if Penny sits on her mat, there's a truce and we can't demand the ball from her or try to grab it.

I think there are a couple of advantages to the 'barley' rule. Firstly, it gives Penny a choice about how long to continue the game. But, more importantly, she can usually be tricked into leaping on to the barley-mat and we can have a rest.
We've always used 'barley' in our family to signify a truce from a boisterous game, and I got to wondering where the word comes from. I've found that it's not used in many countries and is a childhood term.
The references I browsed say it's not used by adults, but I think adults who live with dogs are in touch with their 'inner child', lol. After all, I'd never have thought I'd be racing around the house playing games when I reached this age!