While Minecraft doesn't feature native Rift support, you can cobble it in with the support of the Minecrift mod. It's so good, it might as well be native anyway. Note that installation can be tricky, because the original installer no longer works. Read that thread in full for details on how to install MineCrift.
Of course, you'll still need to own a copy of Minecraft to run the mod. Try not to throw your Rift across the room when a Creeper sneaks up on you.