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Leaping Goat - World's oldest animation
Film showing images from a 5,200-year old bowl from an ancient burial site in Iran.

An Italian team of archaeologists unearthed the bowl in the 1970s from a burial site in Iran’s Burnt City, but it was only recently that researchers noticed the images on the bowl tell an animated visual story.

The oldest cartoon character in the world is a goat leaping to get the leaves on a tree.

According to an article in the Circle of Ancient Iranian Studies:

The artefact bears five images depicting a wild goat jumping up to eat the leaves of a tree, which the members of the team at that time had not recognised the relationship between the pictures.

The Burnt City (Shar-i Sokhta) is a site in Iran that dates to about 2600 BC, and has seen some decades of investigation.
Some researchers claimed the tree on the bowl to be the Assyrian Tree of Life, but the bowl dates to a period before the Assyrian civilization.

Bugs Bunny has nothing to worry about yet, if you ask me.