Found out about Polytopia just before the holidays, and only played that mobile game for the following month.
Nice and simplified civ game, perfect for mobile.
https://play.google.com/store/apps/details?id=air.com.midjiwan.polytopia&hl=en
Lux DLX, Influence or WarLight for risk based game
https://play.google.com/store/apps/details?id=com.sillysoft.LuxDLX&hl=en
https://play.google.com/store/apps/details?id=com.teremok.influence&hl=en
https://play.google.com/store/apps/details?id=com.warlight
Age of Strategy for standard turn based strategy, but if I remember correctly the UI was strange on this one
https://play.google.com/store/apps/details?id=com.zts.ageofstrategy&hl=en
I'd recommend Battleheart for some real-time strategy in mobile format, there is also Rapture although it's a bit quaotic.
https://play.google.com/store/apps/details?id=com.MikaMobile.Battleheart&hl=en
https://play.google.com/store/apps/details?id=com.tundragames.rapture_worldconquest&hl=en
And while searching for the links I found this other one, looks interesting
https://play.google.com/store/apps/details?id=yio.tro.antiyoy.android
