I'm fond of single malt scotch. Actually, let me say that I'm really fond of single malt scotch. So what good fortune it is that other people in this world are, too. The folks at Whisky Classified have come up with a classification system for scotches. It's based on the characteristics for scotches and the brands of scotches that fall into each of those clusters. You can start by trying scotches in the cluster you're fond of, so if you like Laphroaig, you might also like Caol Ila; if you like Bowmore, you might also like Bruichladdich and Isle of Jura, and so on.
Once you've tried a few in one cluster, you can branch out to other classes. There's a chart that shows how the clusters overlap, so you can refine the flavors you're after.