Most of those already mentioned, especially Trivial Pursuit, Clue, and Life, but I also had a really favourite game called Stratego. I used to have to beg my sisters to play that one. It was a bit of a guyish war game, but I loved it for some reason.
Which reminds me...Risk and Battleship.
In my teens, I became more of a tabletop RPG player (not sure if you count those as "board games") followed by a huge obsession with most card games.
ETA: A friend of mine found an old game called Mastermind in a second hand shop, and every time I go visit her we spend at least one night playing it.