If you're looking for a French equivalent, you could consider names with similar meanings or sounds, such as:
* Jacques: A common French name meaning "supplanter" or "he who supplants."
* Jérôme: A French name meaning "holy name."
* Jérémie: A French name meaning "the Lord is exalted."
* Jean: A French name meaning "God is gracious."
Ultimately, the best French equivalent for "Jamie" depends on the specific meaning or sound you're trying to capture.