The most memorable game with a glitch I've ever had was Sims 3. Some people randomly stretched and grew to look like those bobble head things - big head, small body. The first time that happened, I nearly died in fright (it was scary!). Others, when sleeping, kept sitting up. Every few minutes. And, of course, the biggest glitch of all, which crashed my computer until I gave up playing. Heck, I had to download a patch the day I got the game >.<
Other than that, I don't tend to have problems with glitches. The only other one I remember was on the 360, where the whole screen froze and I had to restart. Several times. Boo.