This is how the Rabbit costumes have changed over the years in the parks.

Picture Year Description
1965 - 1970s

The first Rabbit costume had a large head, a brown nose, a tongue, and a blue bandana. He is also seen carrying Piglet, allowing the performer inside the suit to control him as well with his hand.

A version of the costume where Rabbit isn't carrying Piglet and his hands are free was also made.

Disney on Parade
The next one had a shorter head and a red nose.
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2004 - present The current one almost looks accurate to his animated versions.