Both computer games and board games have good things to offer. I guess the main thing is what sort of experience you are after at the time.
Board games are great to get to meet a bunch of people physically. Also, due to set-up time and actual physical components, I always found it easier to get invested in a board game where quitting is harder. And once you have a board game, you can normally play it at any time at a moments notice.
Computer games are fun to play if you are more a solitary gamer. They are also much easier to organise, often not requiring specific nights or geographic proximity to play multiplayer with friends. Extra variety is also great, with mod’s for games and custom maps often giving games new life after they have been around for awhile. And if you don’t like a game, you can switch at a moments notice.
So which one wins for me. If I have a choice, I normally go for board games. However, due to the convenience of computer games, I often play more computer games (as I don’t tend to have a choice due to availability and timeframes). Also, if I feel like trying something new, computer games make it much easier (from both a convenience and financial perspective).