I play a variety of tabletop games, and occasionally host game nights for friends.
Most commonly played:
Dungeons and Dragons (yes, I DM on occasion)
Magic the Gathering
Red Dragon Inn + most expansions
Sites about boardgaming:
Board Game Geek: This is a website where you can look up boardgames. If you create an account and log in, you can get access to the files sections for each game, which contain the rules and often fan-made supplements. It’s particularly useful for finding quickstart rule sheets for games you haven’t played in a while.