It might be a better conversation starter to revive the original post from the original thread:
Aren't board games awesome?
What mechanics do you guys enjoy most?
What was your first Euro board game exposure?
I think tabletop gaming in general is awesome, although I'm more confident now about what I like and don't like than I was four years ago. So... there are games that are more awesome for me, and games that are more awesome for you.
I love card games - traditional card games (trick-taking, rummy, etc) and more unusual uses for a hand of cards (Race for the Galaxy, Bohnanza). I like being surprised by games, or when things don't go my way, but the results are interesting. I like "multiplayer solitaire," but I also like when one player's decision has a butterfly effect on the rest of the game. I enjoy light economic games, heavy economic games, and I like when all of the players can laugh at the events playing out in a heavy economic game.
My first exposure to euro-style games was probably Dominion. Before that I had played a lot of RPGs, and games like Arkham Horror. The only board games from that period I'm still fond of are Dominon and Betrayal at House on the Hill. When I was much younger, I played Hero Quest, Blood Bowl, Dragonstrike, The Omega Virus, The Game of Life, Monopoly, and a bunch of other less notable board games.