What does 你找我有事吗 mean? I got this from the Spoonfed Chinese shared deck on Ankiweb. The translation, which was included in the deck, was "Did you find me about something?" and Google says "Are you looking for me?".

If I translate it character by character I get "Do you find that I have something", but 找 apparently doesn't have the meaning of "think".
找 in this context means to contact/approach/seek/come to see. The whole sentence is very idiomatic and is a good pattern to remember. Roughly, we are asking Is there a particular reason/cause for coming to see me?, or Are you looking for me, because you have something to discuss? 

You could also ask, 你来看我有事吗？ (Literally: "You come to see me because of some issue?") 

Or even, 你给我打电话有什么事？ (Literally, What is the (particular) cause for calling me?)

You can use this pattern to express the goal/reason [e.g. to discuss something] of some action [e.g. to seek someone]. In Chinese, you don't need to express everything explicitely, e.g. a causative relation between to actions, as above, from the context this will be clear.