Bullseye

Bullseye is Woody's horse. He is a toy horse that was a part of Al's collection, who had been in storage for several years. He was the first Woody's Roundup toy that Woody met when he arrived at Al's apartment. Despite the fact that he is a horse, he can remind you of a puppy by the way he acts at times. He was extremely affectionate towards Woody, Jessie, and the other toys. He doesn't have a speaking voice, instead he neighs and makes other horse noises.

Trivia

 * Bullseye was originally going to have a speaking voice, but John Lasseter decided to make him a non speaking character since he would be more appealing to audiences.
 * During the "Rescue Jessie" scene in Toy Story 2, Bullseye is somehow able to run just as fast as a plane getting ready to take off.
 * Even though he is Woody's horse, Bullseye seems to be more attached to Jessie. He can be often seen with her at his side, usually with an arm around him, at other times (such as when something dramatic is going on), he can be seen hiding behind her, almost as if it were for protection or out of habit.