I believe Warner Bros. has deleted all the Looney Tunes cartoons from YouTube, but at least one is still available on a Russian video site.
How stereotypical is this cartoon? Well, the "brave" operates out of a teepee, practices scalping, and talks like Tonto. Bugs calls him "Apache" and "Geronimo," but he calls himself the "last Mohican." About the only nonstereotypical attribute is that the Indian wears glasses.
Bugs Bunny--005--A Feather In His Hare