In his "Top 11 Saddest Nostalgic Moments" video, scenes from various Disney movies are placed in the #1 spot, including the killing of Old Yeller.
In his review of Rover Dangerfield, the Critic gets annoyed by the title character and tells the movie to "go Old Yeller on his ass".
In Slimebeasts story, Lost Episodes, its said that first time Sid edited a tape was to change this movie so that the dog instead recovers from the rabies. Its implied that seeing the real ending contributed to Sids Start of Darkness.
In "Bumbie's Mom", Slappy helps a traumatized Skippy learn that a tear-jerking death from a certain movie wasn't real, and the episode ends with the two watching an in-flight movie. Unfortunately, it'sOld Yellow and instead of having Travis provide the Mercy Kill, it is somewhat implied that "Old Yellow" got killed (offscreen) by hunters.
In "Hello Nice Warners", the Warners have Mr. Director play the unlucky dog in their film Old Screamer.