1. Sawyer from Lost - Like Gambit, he has a criminal background and he is a cocky flirty guy with a heart.
2. Jin-E the Manslayer from Rurouni Kenshin anime/manga - from the creator's character notes, this character is based on Gambit for his hypnotic-looking eyes, headdress and the mysteriousness except that he is the sociopathic villain in the anime/manga.
3. Judeau from Berserk is kinda like Gambit also with his skill in throwing Knives his personality he is loyal and wise also has a great sense of humor.

John Hart from Torchwood XD

i know he 's not on the list but i chose hawkeye cause he get lots of girls and he use to be a criminal when he started out.

I love Sly Cooper! Yeah  he is the cartoon animal equivalent of Remy.
Sawyer and Hawkeye are great comparisons as well.
This probally doesn't count but when I play Fallout New Vegas, I styled my character after Remy.

I thought the obvious ones were Fantomex and Grifter, I'd add Hank Moody from Californication and Spike too.

Shen Kuei aka The Cat.