It depends on what you consider a "video game". I played games in the first arcades as well as the Atari 2600 when it first came out. Before that I played games on the Commodore PET, TRS-80, Ohio Scientific, Radio-Shack Color Computer, etc.
Games before that were on "kit" systems such as the Kim I, but I doubt you could call them video games as they were often played on LED displays.