While on the note of weird bugs, here's one I got a short while ago:
link (Fitzquake Mark V)
Was dicking around with cheats (god + impulse 9/255) on E3M1 when, as the demo shows, another "dog" spawned at the same location as the previous one, except the model was replaced with the dog head-gib model, which proceeded to attack me, while seemingly moving at about half the speed of the normal dog. And after taking a jump, it sort of dies? Very weird, reminds me of a bug I've gotten before where I restarted a map with a different mod (or something like that, can't quite remember) and suddenly all the models would be switched around, but this was just normal id1. Happened once before too with the exact same dog, tried to record with Fraps then, which crashed itself and the game - probably because the bug was too weird to handle.