Anime that really piss me off are the ones that invade my mind all the time and I can't stop thinking about. Its usually the serious ones with pathetic spineless male leads and silly harem animes where the laws of anime are stretched stupidly and pointless violence etc.
Neon Genesis Evangelion was one of the first animes that makes me feel so angry [at the casual cruelty of humans and the way Shinji is treated etc.] that I could destroy an orphanage
Elfen Lied also as Lucy and the pathetic humans really piss me of beyond imagination for tons of reasons I dont feel like listing here for fear of being judged etc.
Almost as much as Love Hina which I sometimes watch on youtube to pump up my rage for ma's practice. I just cant see how its supposed to be funny.
Noir also ranks as an anime that makes me feel "threatened?" maybe or just downright suicidal with despair and anger. I know it seems like I'm talkign anime too seriously but there you go.