Chad Orzel writing over at ScienceBlogs has a really interesting, although slightly snarky, answer to this question.
In the process, he points out why, despite the fact that particle accelerators are useful for one thing--slamming particles into other particles--there are a lot of different detectors. Each is tailored to look for different kinds of debris from the particle collisions.
Chad's preference for what he'd do? Search for microscopic black holes, as Peter Steinberg talked about on his US LHC blog the other day.
