Alternate versions for
The Bourne Identity (2002) More at IMDbPro »

The DVD contains an alternate (more Hollywood-like) ending: Jason looks down on Marie's scooter rental from a hill, then walks down to it. Marie comes out, sees him and goes towards him. Then they embrace and kiss with a glowing sun in the background...
The newly released DVD of the film contains the original never before seen opening to the film in which Bourne is seen in the same town seen at the end of the film wandering around, asking if anyone has seen the girl in the photo he is holding. After being pointed in the wrong direction, Bourne then falls to the ground, drugged, and the picture of Marie that he was holding drops from his hand.
According to Doug Liman's audio commentary on the American DVD, the European version of the film contains an additional 1:00 scene, which was cut to make the film shorter in the US. It is included among the bonus features on the American DVD and involves Jason and Marie eating with Eamon and his children at their farmhouse. In the scene, Jason makes a connection with Eamon's young son, setting up the scene a few minutes later when Marie finds Jason looking down at the sleeping children.