The Bourne Identity (2002)

On a stormy night, a young man is pulled out of the sea by the crew of a fishing boat. He has two bullets in his back and a miniature laser device in his hip, which contains a Swiss bank account number. After recovering, and traveling to bank in Zurich, the young man finds a stack of passports, all with his picture, and a huge pile of cash. Armed with the contents of his bank box, and with his new friend Marie by his side, he scours Paris for clues about his identity and past life... and finds himself in the middle of two assassination plots masterminded by the CIA.
Watch the trailer here.
The Bourne Supremacy (2004)

Jason Bourne and his girlfriend Marie begin a new life, living under assumed names. But when an assassination attempt on Bourne goes horribly wrong, he must re-enter the life he wanted to leave behind, in order to find out why he's still being chased.
Watch the trailer here.
The Bourne Ultimatum (2007)

Bourne is once again brought out of hiding, this time inadvertently by London-based reporter Simon Ross who is trying to unveil Operation Blackbriar--an upgrade to Project Treadstone--in a series of newspaper columns. Information from the reporter stirs a new set of memories, and Bourne must finally, ultimately, uncover his dark past whilst dodging the CIA's best efforts in trying to eradicate him.
Watch the trailer here.