I like Descent, even though the game mechanics are not always well rounded. My minis are still waiting to get painted.
Agricola, Colloseum, Pillars of the Earth, Fresco, Marco Polo, Settlers of Catan (board and card games), Carcassone, The Knights of the Round Table, Arkham Horror, Battlestar Galactica, Battlelore, Memoir 44, Battles of Westeros, A Ticket to Ride, Small World, Fluxx (original ICE's edition and Zombie Fluxx), Robo-Rallye, and so many others I played.
In my family, my mother, one of my sisters, and I are enthousiasts boardgamers.