In an episode of the Simpsons…

In an episode of the Simpsons that aired in 2003, Homer gave his email address as ChunkyLover53@aol.com. The episode’s writer, Matt Selman, signed up for the ChunkyLover53 email address beforehand and within minutes of the show’s airing found his inbox packed to its 999-message limit.
There was also an episode of Futurama where Bender gave out his email address (bender@ilovebender.com) if you wrote, you got an automated message back from bender: