Infogrames Secures Exclusive Worldwide Console and PC Video Game Rights To C-2 Pictures and Intermedia's 'Terminator 3 Rise of the Machines' is the press release announcing that Infogrames has acquired the rights to make games based on Terminator 3, as well as an option for rights for a potential fourth Terminator movie. Here is a bit from the release, which also mentions plans for a PS2/Xbox game based on the original Terminator film:

The first game based on the "Terminator 3: Rise of the Machines" property is currently expected to hit shelves in 2003, coinciding with the release of the major summer event film. Infogrames is also currently developing another title, Terminator: Dawn of Fate, for the PlayStation® 2 computer entertainment system and the Xbox(TM) video game system, that is based on the original film, "The Terminator." Terminator: Dawn of Fate is scheduled for release later this year.