There is considerable overlap between boardgames and videogames (both PC and console), though it may not always be apparent. And moving forward, I think we will see even more of such overlap.
Some of the classic videogame franchises that we see now had their beginnings as boardgames. This is no more apparent than the Civilization series of PC games, which was inspired by the 1980 boardgame, Civilization. Spawning 4 sequels, the PC game even made the transition back into modern boardgames in the form of Sid Meier's Civilization: The Boardgame, released in 2002.
Another game that made an impact on videogames is the Battletech series. Originally published by FASA, the boardgame had players facing each other off through the control of squads (or in Battletech terminology, lances) of heavily armed metal behemoths. And Battletech: The Crescent Hawk's Inception was the first in a line of PC and videogames over the course of 17 years. In addition, these games (especially the Mechwarrior series) have also helped in creating an entire genre of videogames. Today, the boardgame still enjoys a healthy following, having just released a revitalised ruleset. Other spinoff games include a collectible card game, and a collectible miniatures game.
These 2 games were not the only ones to make the transition onto the electronic format: Full Metal Planete (Infogrames, 1990); 5th Fleet (Avalon Hill, 1995); Wooden Ships and Iron Men (Avalon Hill, 1996); Europa Universalis (Strategy First, 2000). An in-depth search will reveal even more of these games.