Continuity mistake: When Matt Damon is handed the bank number in the beginning of the movie, his fingers aren't bloody. In the next shot, they are.
Continuity mistake: As Conklin walks on to the Pont Neuf, the French "associate" watches him directly and then speaks into his collar (a very obvious tip-off as to what's going on). But as Bourne watches this happen, the Frenchman has his back to Conklin, without adequate time to have turned around.
Continuity mistake: In Bourne's Paris apartment, Bourne takes off his orange jumper and leaves it on the desk. When he kicks Castel over the desk, the orange jumper is knocked to the floor. After Castel goes out the window, the jumper is back on the desk again.
Continuity mistake: When Bourne leaves his Paris apartment, the dead lady's head position changes between shots.
Continuity mistake: When Bourne is on the phone with the French hotel asking whether his identities are checked in there, his right hand changes from holding passports to holding the phone between shots.
Continuity mistake: During the car chase in Paris, the sun shines when the camera films the front of the car Bourne is driving, but it's grey and gloomy when the camera films the rear of the car. Changes back and forth throughout the entire car chase.
Continuity mistake: After Bourne dyes and cuts Marie's hair, she is left with long tendrils at her temples. He brushes them away when they start kissing. But the next morning, when Marie wakes up in bed, all of the front of her hair is cut short.
Continuity mistake: In the scene where Jason Bourne first wrestles with the boat's doctor/captain, the man shows Jason the cylinder that was in his hip and asks him why it was there. Jason grabs it and his hands are clean, then in the next shot as the medic is still holding him there is blood all over Jason's hand as Jason continues examining this cylinder, then the blood disappears again.
Continuity mistake: When Bourne sees Conklin on the bridge of Pont Neuf, Conklin starts to take his jacket off first, leaving his suit coat on. In the next shot both jacket and coat are being taken off at the same time.
Continuity mistake: When Jason and Marie are talking before she gets in Eamon's car, one angle shows light snowfall and snow in Marie's hair. But the other angle, there is no snow in her hair, even when she fully turns around to get in the vehicle.
Continuity mistake: As Bourne is running through the embassy, the red bank bag alternates multiple times between being over his right shoulder and his left.
Continuity mistake: During the car chase in Paris a cop's motorbike crashes against a car and he flips over it, flying meters away. A frame later he is simply landing a couple centimeters next to the car.
Continuity mistake: When Jason jumps down the staircase hole, the position which he lands in and the amount of blood on his head changes between shots.
Continuity mistake: In the Paris Gare du Nord shot where he is to leave the bag, when they pull up to the station time is 16:15 in the first shot of the watch, then cut to car he gets out, time is 12:00 then inside time table show around 16:30 unable to see how long up, but it is no longer 12:00 then camera moves around him and cut and a time table for track 12 shows 18:26 He looks at the timetable pondering if he should leave Marie and now the timetable for track 12 shows 14:37 and the clock in the background 14:29.
Answer: The artist is "Genuine Childs", the song is just called "The Bourne Identity DVD menu music score". It's not on the Bourne album, but you can find it on their soundcloud page: soundcloud.com/genuinechilds.
Bishop73