Rayman 3: Hoodlum Havoc (March 17, 2003)

Rainbow Six 3: Raven Shield (March 2003)

XIII (October 9, 2003)

Prince Of Persia: Sands Of Time (October 28, 2003)

Beyond Good And Evil (November 19, 2003)

Ghost Recon 2 (March 2004)

Far Cry (March 23, 2004)

Splinter Cell 2: Pandora Tomorrow (March 23, 2004)

Ubisoft was known to publish a lot of crap in the 90s, but had a bit of a renaissance in the early 2000s. This went on until 2010ish, I feel they kinda lost track since that moment, making fewer games and those few were capitalizing on the same open world formula