Fields of Fire -War along the Mohawk (1998) from Empire Interactive.
A "strategy game" but with an emphasis of about 30 mission levels playable from both sides (French & Brits).
You choose first your side and then get to pick your own character from Indians (Iroquis, Huron etc.), colonists, British soldiers, French soldiers, Rangers and Coureurs. Then your force is sent to a mission where you can recruit more characters into your force.
An interesting idea but poorly executed as the game was bug ridden and nigh on unplayable as the French. For what I know the devs never released a patch and the game was kind of a prequel to a much more ambitious 101st Airborne game with a same idea.
If this game had been more thoroughly planned and supported it could have been a minor classic.