My main entertainment has been video games for more than 30 years so I either need a story, complex systems i can mess with or maybe a reflex challenge.
Edit: Say, where can I find a complete list of the games they offer? I just checked their page and they seem very secretive about it. Another sign that it's targeted at parents buying something for the kids to shut them up :)
I've really enjoyed my time with Apple Arcade. Before it launched, it was becoming difficult to find a decent mobile game that wasn't 100% supported by ad's. I haven't loved all the games they offered, but I've played about 5 so far that I would have paid full price for if they weren't offered in the service.
Phone games are generally played to fill dead time, rather than someone spending hours strategizing like Civilization, by and large, so in these cases shallowness is a virtue. At the computer I like CKII, but Reigns is good if I'm waiting on lunch.