Actually readable radio/tv signals are, at best, 5-10 light years away.
If you want to get more depressing about it consider the type of content we actually send over the air vs. through other means (such as cable and the internet). If the aliens ever do find these signals they're going to get a picture of a culture that's significantly more focused on Wipeout! than Breaking Bad or The Sopranos.
Are the tv and radio waves that we sent out in the 1800's not leaving earth at the speed of light? I know I flunked out of physics, but... What am I missing here?