A lot of my friends host board game evenings, where we play some of the more modern board games, such as The Resistance, Elder Sign, Pandemic, etc.
I think there's a lot more attention and focus on these kind of games thanks to things such as pod casts and web-shows doing play throughs and reviews of them - Table Top with Wil Wheaton and Felicia Day (Mmmm, Felicia Day...) is an especially well-known and popular one. So many people follow it that a lot of the games they review/play sell out almost as soon as they're shown.
I also play a lot of card games that are similar - Munchkin, Fluxx, Gloom, Chrononauts etc.
As well as those, I regularly meet up with friends for tabletop RP sessions - our group clocks in at around 8 regular players.