If you like Euro-style games, you can't go wrong with classics like Carcassonne, Settlers of Catan, or Ticket to Ride.
Fore more Ameri-trash games that are great, I'd look into Zombicide, Zombies!!!, City of Remnants, the D&D Board Games, or Betrayal at the House on the Hill.
If strategy card games are your bag, it'd probably be a good idea to check out Smash Up!, Android Netrunner, or Dominion.
If you're looking for party-type games, maybe check out Ladies & Gentlemen, The Resistence, Shadows Over Camelot, or any of the versions of Werewolf there are to be found.
If you like dexterity games (you know, like Jenga), you might wanna look into Rampage, Space Cadets, or Jungle Speed.
There's also like... Fury of Dracula, Letters of Whitechapel, King of Tokyo, Space Cadets: Dice Duel, Epic Spell Wars, Food Fight, Red November, tons and tons more.
It all really depends on what you know you already like, and the themes you think you'd like! Check out the Hotness on
Board Game Geek to see what people are currently into in the larger board game community.