Ticket to Ride, an award winning board game from Days of Wonder, has made the transition to PC wonderfully. The game is simple to learn: players take turns drawing cards, either at random or from a pool of cards visible to all players, and use those cards in sets to claim paths on a map to complete train routes, scoring points in the process. I found this a nice change from purely chance-based games, where consecutive bad die rolls can ruin your game; poor positions in the game are usually the result of you own decisions.
I found the tutorial simple and quick, allowing me to get into a game against computer opponents in under half-an-hour. Online play subscriptions are available, and the game ships with one year of access to Days of Wonder's online service. This allows great replayability for anyone tired of the AI opponents. Also, the PC version includes several expansions which change the map layout and some game mechanics for added variety.
This is a must buy for fans of not only board games, but any strategic or casual PC gamers. Between easy gameplay, deep strategy, and excellent replayability, Ticket to Ride offers hours of entertainment.