Honestly I rather dislike glitches on dodge tests, since if you're heavily under fire and the pool drains, you get into big glitch chances, which are a pain to get if you're already taking that much fire.
I can definitely see that but I would counter that as it's getting that frigging hard to avoid the onslaught, the chances for a big-time screw up would definitely go up.
As for the question about standard glitches, here are some off the top of my head:
Language roll: The character understood enough of the words to get an idea about the conversation but missed a key element of the context
Firearms: Weapon jams, weapon gets dropped
Dodge roll: The bullet either bypasses armor or deal physical instead of stun if it was stun originally
Body roll: Something badly damaged, shattered wrist, broken ankle, etc.
Critical glitch body roll: Good news, the arm isn't broken. Bad news, the arm is on the ground.
Spellcasting: too many fun possibilities to count.
Running: Character moves up to their movement but trips and falls