Games have the same appeal characteristics as reading:
language
character
setting
story

When you are asking a reader about what they read recently and why they liked it (so you can work about some suggestions based on Nancy Pearl's doorways), you might also ask your reader about the games they are playing and why they like them. This will also help indicate the doorway or appeal characteristic (although you would not use this language with the reader as it is library jargon).


Assassins creed
Games and the character doorway
Games and the language doorway
Games and the setting doorway
Games and the story doorway