SimCity BuildIt - Build, craft, and control! SimCity BuildIt is an all-new SimCity game designed just for mobile.
Moonlighter - Create some headspace & focus on building those ideas
OpenTTD - An open-source clone of the classic game ...
Epic Astro Story - Android - $4.99, apple - $3.99 (Free "lite" version available for both)
Cities: Skylines - Cities: Skylines is a Construction and Management, City Building, and Single-player Simulation developed by Colossal Order and published by Paradox Interactive.
Soda Dungeon - Soda Dungeon is a Free to play, Adventure-based, Role-playing and Single-player video game developed by AN Productions and published by Armor Games.