I own computer and a gaming phone my favorite is gaming with my phone main reason why I like gaming in my phone instead on PC because my PC got broke and I don't have money right now to fix it.
I recommend you to play these games on your phone this were offline games(you can play this without WiFi or internet connection).
The Sun : Origins (fps/rpg/horror) for both Android & IOS
The Shadow of Kurgansk (fps/action/adventure/horror) for Android & IOS
Ravensword : shadowlands (rpg/action/adventure) for Android & IOS
Aralon : swords and shadows (action/rpg) for Android only
Animus : Harbinger (game inspired by dark souls) for Android only
Animus : Stand Alone (it's the sequel) available for both Android & IOS
The Reporter (horror/action/adventure) for Android only
Resident Evil 4 (it is imported from ps2 to Android) it is not available for both play store and appstore you can get it on playmob
If you then like point and click games I can recommend you playing.
Agatha Christie's ABC murder
Broken Sword 1 and 2
Fran bow series
The last door
Dmc Walking dead series
Wolf among us
That's all