The name 'savate' translates to 'old shoe' in French, referring to heavy shoes worn in fights.
The style became recognizable as the art practiced today when in 1830 Charles Lecour combined English boxing with the old streetfighting system.
I do not insist that the sport be called "Le Boxe Francaise" rather than "Savate", but "Le Boxe Francaise" is really just kickboxing, whereas true Savate, or "Street Savate" includes grappling, knife fighting and cane fighting.
Some American styles are:
*Throw Wrestling (aka Stand-up Wrestling).
*Throw Fighting (aka Stand-up Fighting; above + kickboxing)
*Submission Wrestling (aka Catch Wrestling, Hook Wrestling)
*Submission Fighting (above + kickboxing)