Starbound
Realistically Starbound is closer to Terraria than it is to Minecraft, although they still share the same basic gameplay elements. However, Starbound goes a couple of steps further with what it does.
Like Terraria, it is a 2D survival game where you explore, craft, build, and fight in worlds with a pixel art aesthetic. The difference is that you travel around an infinite amount of worlds, each with their own theme. You can choose from multiple classes, with each bringing unique race equipment, and a fancy ship.
While for the most part you are left to your own devices, Starbound does include a story with quests to follow, which takes you around the solar system. Starbound is only available on the PC currently, although it is currently in development for the Xbox One, PS4, and PS Vita.
