I've always been a fan of approval voting, and have tried to implement it for decision making in some groups I'm involved with, but it is hard to convince people. They just want to go through runoff voting, and I think they'd come up with the same result more quickly if they used approval. I haven't heard any really good arguments against approval voting.
From SM70's link:
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n Approval voting, each voter simply votes for, or "approves," as many of the candidates as desired (without ranking them). As in plurality voting, the votes are counted, and the candidate with the most votes wins. No new voting equipment is needed (except perhaps in rare cases), and the ballots don't even need to be changed. Moreover, the change to the current voting rules is trivial: "vote for one" simply becomes "vote for one or more."
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