Well, here's a few that annoy me.
1.The tragic hero: Why is it that pretty much every anime contains a character whose mom/dad/sensei/whatever was killed off by the villain of the story or is all 'complex' (which is the shows term for emo) and they're only involved in the story because they're out for revenge. Afro samurai is the biggest offender of this. I don't feel like going into a huge thing with it but whatever. My point is, can't a guy be the hero, simply because he wants to and not because he's out for revenge or whatever?
2.No one but the protagonist can save the say: DBZ is the biggest offender here. All the other characters train and become powerful to deal with a villain, but its funny how the only one who can get anything done is the main character. Why can't Vegeta or hell even Piccolo get something done or save the day every now and then if they've gotten so damn strong? But no, it's always Goku.
3.Overly sexualized anime: Okay, let me say this, the only thing more annoying than a hero pulling wins out of his ass, is a female character with a pair of party balloons for breasts and the brain the size of a penut. Cheap ecchi crap like shower scenes and up-skirt shots are just mindless and retarded. Ikki Tousen is a big offender here. Hell the only reason I even watched the show was for Kanu Unchou. But the entire thing is marketed on tits and ass, it's a pain in the ass really. Not to mention they kept messing with the story its all based on in order to fit certain character traits. I.E. Kanu is a lesbian, so they said that Guan Yu (from whom she reincarnated... or something) was gay.... Come on, now you're just messing with history here!
This is also while I like the series Strawberry Panic! As a girlxgirl anime, the sexuality (as in the characters doing it) was there, but the creators didn't go insane with it.
4.Giant robots: I'll admit that as a kid I liked Gundam Wing and G Gundam. I've come to look at mecha as a genre rather than a cliche so I'll let it slide... Except one certain anime. One such anime is Kannazuki No Miko. I watched the series really because of ChikanexHimeko's relationship... As little of it as there was what with all the mecha fights and other crap. This is an example of inappropriate placement. The premise was two girls with holy magic powers that are supposed to save the world from the mythology Orochi while falling for one another, but I feel that premise is pushed aside so Souma can have his stupid mecha fights with the other villains... Which gave me another reason not to give a damn when Himeko blew'em off later in the series
5.ANNOUNCING YOUR NEXT ATTACK REALLY LOUDLY!!: Just about every anime hero's guilty of this, but the greatest offender in my opinion is once again Kannazuki no Miko's Souma... Never have I heard someone so damn loud and annoying. I'm convinced that guy isn't fighting with the power of Orochi, but a mix of crack and speed. As a martial artist, not only is this annoying, but ineffective. Say I'm sparring one of my friends at my Dojang (Korean term for Dojo), the guy would easily avoid my attack and knock me the hell out. I'll understand if its some incantation and you have say it to make your attack work, but otherwise... Please stop doing it.
6. Really... REALLY retarded decisions: The greatest offender of this is easily DBZ what I'm talking about mainly is the whole power up thing or use of attacks that take a while to take into effect. The fight with Raditz is probably the only episode I've seen where the characters recognize this and work their strategy around it: While Piccolo powers up his attack, Goku keeps the opponent busy so Piccolo can charge up uninterrupted... And that's the last time we see something like that.
After that, everybody, heroes and villains both perform drawn out charge up sequences or perform attacks that take so long to charge up the opponent could write a novel about it by the time the user actually attacks. The most appalling are the heroes, especially during the Frieza thing. Why the FUCK are you gonna just stand there while the guy is busy making himself much more powerful and thus make the fight a lot more difficult? Do you have any idea how many lives you could've saved and how many fights you could've shortened by simply blasting the asshole while he's clearly wide open for attack?
And as for the good guys, if its gonna take five minutes to to gather your power, then either do so before you go off to battle, or better yet, go somewhere else and hide so you can charge uninterrupted then come back when you're ready.