Here's a couple random ones, outside of the obvious (Link from The Legend of Zelda).

Some of the character models in Warcraft 3 were left-handed, like the Footman and the Grunt. The weird implication in this is that in the Warcraft universe, left-handed is the default, because while the common Footmen were lefties, the heroic Paladin was right-handed.

Some of the party members from early Final Fantasy games were left-handed: Leila and Leon from FF2, and Kain and Palom from FF4. Because of the 2D sprites it didn't show very well during battles, but it did affect the way their equipment was arranged in the menus.

Doomguy