Cheshire Cat is a character from the Disney movie Alice in Wonderland. He makes a couple of appearances through the Epic Mickey series.
Epic Mickey
The Cheshire Cat was supposed to appear in the cut level, Wonderland in Epic Mickey. In concept art for the level, it seens to show a demonic version of him looking down at Mickey.
What role he would play is unknown, though it is possible that it was just a model.
Epic Mickey 2: The Power of Two
A model of his head can be seen in the Floatyard.
Epic Mickey: Power of Illusion
He is sucked into Wasteland by Mizrabel's powers, winding up trapped in her Castle of Illusion. Alice will ask for Mickey's help in locating him, and he will return to Alice's Room.