Most people use the official Zippo fuel or Ronsonol lighter fluid. These are basically just naphtha. But naphtha is a whole class of hydrocarbon fuels, and there are quite a few alternatives that will work just fine in your Zippo:
liquid paraffin, AKA kerosene (however, there are many reports that it won't ignite by itself, since kerosne has a very high ignition temperature than some of these other fuels