We'll even play co-operative games of Barony, and Borderlands; but those are more that they want to spend time with their Dad. Likewise, I don't think they'd ever have picked up Castle Crashers or Kingdom Rush if I hadn't played those games in front of them and with them.
I think an important undertone in many of the games that appeal to them is that they're primarily focused on solving a puzzle and telling a narrative through puzzle resolution. Only one daughter is particularly fond of the doll dressing aspect of some games, and there are dedicated Android apps for that specific niche. Neither is particularly interested in playing first person shooters or epic CRPGs, unless it's done with my involvement. Also important is the presentation; there's only one game in those that I listed which is in any way presented with modern realism, the rest are _clearly_ stylized in a more playful manner. But maybe that's a reflection of their age?