Public games

My sub (who is more experienced with BDSM--I'm really really new but very excited by it) has been asking me to play a game with her when we go out. She says she had played games before where her previous dom instructed her by telling her she couldn't look at anyone but him in the eye or that she should go to the bathroom, take off her panties, and bring them to him.

I can't really think of much, though, and I am kinda nervous about it being a disappointment for her. The only thing I've really thought of so far is, while we're a nice dinner, telling her exactly what to eat, how much, and when to eat it. She likes this idea, but then of course I already told her what I was thinking and I know she'd love it if I surprised her with some really fun ideas.

If you guys had any suggestions or tips, that would be awesome. Thanks