In any case, I'm personally a fan of modular origami because I like the inherent symmetry in the models as well as the visible connection between art and mathematics. I folded most of my models back in 2006 but have just recently picked up the hobby again because I was in desperate need for some presents. I had the goal of building models of all archimedean solids once but there are some I couldn't find suitable units for yet and others that looked a bit too big to tackle back then. This is a project I'd like to finish some day, though, but I'm not sure if I will.
My two favorite peices are a truncated truncated icosahedron made from jitterbug units
and a Torus made from 105 PHiZZ units which I just today finished another copy of
Check out http://thps3.net/Origami/ for most of my collection, my more recent work were mostly duplicates of models displayed there.
And with that, I don't really know what else to add for a first post. Any other folders out there?