This is a fairly wide-ranging thread, with two main topics:
1) Discussion of launch methods - There's a good deal of them; all the varieties of light gas guns, railguns, induction launchers (pancake and tubular coils), electrothermal guns, exploding foil launchers, a few other more difficult and uncommon EM-based methods, laser ablation, and all the ones based around compounds we are not to discuss here. Anything that interests you in this field may be posted here, along with theories and information from research papers.
2) Collecting links to actual launchers built by hobbyists - I've found one so far that may fit, built by a 4hv member:
Badastronaut's railgun
More links would be greatly appreciated, but don't bother with anything under 1200m/s or so, or we'll have a great mess of overly-long cannons powered by worrisome quantities of Pyrodex

Essentially, I'm looking for innovation here, done by people who don't charge the casual reader thirty bucks a pop to read about their results. Having a collection of such information assembled here could make it marginally more likely that people will build these things once in a while, so please post anything relevant to the topic. HPEL-1 lives