Apprentices and Apertures

You are an all powerful wizard!  Or...at least you were in training to be one.  I mean, you can mostly cast a couple of spells, and then there are a bunch that are totally on your radar.  I'm sure you can make do, which is good, because you are currently being tossed between dimensions to a variety of strange and wonderful worlds.  Your goal: use your magic to get home.  Your other goal: use your magic without a ton of collateral damage. 

Requires a set of polyhedral gaming dice and one player acting as a GameMaster