I don't play board games often any more ... if I do, it's usually one of the following:
Civilization: Not the Sid Meier version, but the "original", which came out (and which I bought) years before Sid Meier's Civ. Great game. Once we managed to play it regularly, once a month we reserved a whole weekend for it. Needs very dedicated players though because it *will* take ages.
Britannia: Another great game from about the same time. Nice twist because you played several "tribes", and the game had a good balance between "old" civs remaining on the map and "new" ones invading it. It was always great to bring the Picts to London.
Axis & Allies: Personally, I don't like this one very much. Too much dependent on pure luck. I also think the game isn't balanced too well. But some friends of mine like it and so I end up playing it with them. My first A&A game was an interesting experience, it took two hours to explain the game to all players, and only 30 minutes of actual play time until Germany screwed up so badly that the Axis was practically beaten after two or three turns.
Settlers of Catan: Nice, simple board game that can be played with people who find other strategy board games too complicated.
I regularly refuse to play Risk. If I want a simplistic dice game based on luck and very little strategy, I'll choose Yahtzee instead, that's faster.
