Grand Theft Auto was created because of a gaming glitch. It was originally meant to be a top down racing game, but it became GTA. The playtesters thought the game was shit, but noticed that a particular effect took place. For no reason, the police officers in the game went ballistic and wanted to end you ass.
Elder Scrolls 1 has a list of known glitches that are still around today.
The original Sim City did not work on Windows 3.1. It essentially took up all of the ram of a computer, even though it only needed a few megabytes to run. Was not a problem with dos because you can only run a program one at a time, but windows needs that ram and playing Sim City would constantly crash it. Microsoft had to write a specific patch to prevent this from happening.
Mega Man 1 had a little thing where if you jam on the select all the time, certain weapons would register multiple hits.
Mario 64 had a ton of glitches when it was released, one of which allowed you to essentially powerslide into Bower's room as soon as you get access to it.
I could go on, but the point is the same: glitches have been around for a long time and will still continue to be around.