I've got a harness that lets them play a few simple games like rock paper scissors. They definitely seem to get caught up in the competitive spirit.
I've also done a very truncated run of a visual novel before, and it was fascinating how "emotional" was. They did a very good job of portraying a human reacting to the story.
Conversely, they absolutely hated hidden rules in Mao.
Wordle would probably be a fun one. Definitely open to suggestions - I just got the harness in place and have been thinking about what to do next.
I think scrabble might be a nice one. It is presented in a format that (to me, from just looking at it) could be nicely implemented in it, and would provide for some emotion/traces that would be represented well.