Outside of cigars, I understand it's still a nice place to visit. Great skiing in the Winter and good hiking in the summer. I believe there's supposed to be a really nice spa there as well (presumably to help folks like me recover from my skiing and hiking).
I've wanted to visit Andorra as part of a larger trip exploring that region along with the east coast of Spain. Fly in to Barcelona, take the bus up to Andorra for a 2-3 days. Then travel back down towards Gibraltar over the course of 10 more days. Probably a pipe dream.