In Twilight Princess, any time you run and mount Epona from the rear, you will get a speed boost that let's you go faster at the beginning without using any of the speed spurs (in OoT and MM, the speed indicators are carrots, but in TP, they are spurs).

The game was originally going to be released on the GC alone, but when they decided to put it onto the Wii, they noticed the Wiimote was meant for you to use your right hand to swing the sword and not your left. So, since the game was just about completed with all the maps and stuff very close to completion, they mirrored the entire game to fit the Wiimote.