Possibly my favourite video game of all time is Resident Evil 4. Stupidly, it was the first game I bought for the Wii, which has meant that every single game since has been a bit rubbish in comparison (it doesn't help that quite a lot of Wii games are on the poor side). The greatness of the game comes down to being based around a great story.
Which brings me to the Paul W. S. Anderson's Resident Evil film series.
Great stories these do not have.