I can never think of any "fair" searches to try. So often I just use google to get to a specific webpage from the Firefox search bar faster than I could by typing in the full address. If I search for something with a specific result in mind, all 3 engines will nearly always give me that as the first result (for example: woot, eztv, twit).
I never use search engines to look for a generic term the way search engines are always marketed, for example searching for "buy used textbooks" or "cheap prescription drugs" or "book a flight" since those results are always so commercialized that they're generally useless anyway.
Yesterday, I had two searches for which Google was failing me, "prius chipmunks" and "ie6 image reload", so on a whim I tried bing, and bing had the answer in the top three for both. I was really surprised. I'll keep using Google, but I'll probably try bing when I'm stuck in the future.