I don't think I've ever met a board game I didn't enjoy. Played many an SPI and Avalon Hill war game back in their heyday and still do. Current favorites include 13 Days, Evolution, Dead of Winter and Zombicide. I just bought and am looking forward to playing Seafall, Time Stories and Mysterium.
I also enjoy miniatures gaming, particularly X-Wing right now, and some ancient gaming, particularly Senet and Hnefetafl.