The back of the box for the Xbox 360 version of Final Fantasy XIII has revealed that the 360 version of the game will utilize Bink video, likely for compression of the game's many cutscenes.
The Bink Video logo is displayed clearly on the back of the box. Bink have special video tools designed for the Xbox 360 and they have been used in RPGs such as Borderlands, Mass Effect and Square Enix's The Last Remnant. The Japanese PS3 version of FF13 did not use Bink.
The Bink webpage indicates that the codec will show 720p video. The Japanese PS3 version of the game had the game's 40+ minutes of FMV encoded at uncompressed 1080p.