What is a good resource to discover new games?
Online, I think BoardGameGeek is a great resource. It's kind of to board games what IMDb is to movies - tremendous repository with lots of rulebooks, user reviews, and more. It can be a bit hard to know where to start, but they also have a dedicated recommendations forum, and most people are happy to help.

If you live in an area with a hobby game store or a Meetup group, they're also a great resource for information, and more importantly, the ability to try things out before you buy them (as @shujaa points out).