These I either dislike or annoy me greatly:
-Power up progression. As in, the hero and the villain start the fight. Hero seems to win, but oh no! Villain powers up. Villain is winning now. But hah, the hero is suddenly used to the enemy's movements and boom he's winning again. But oh no there was even more hidden power for the villain! And then the hero gets a second wind. And then the villain uses his final trump card. And then the hero puts all of his effort into winning with a second-second wind! Ugh, this got so old so fast...
-Ecchi scenes for the sole reason of fan service. HSDK has been particularly bad with this lately, where for no reason we get almost-but-not-quite-nude-close-ups from the female characters for no reason whatsoever in every chapter.
-Supposedly ugly and geeky female lead (whom would actually be a super model had she been real) gets the interest of the supposedly super hot and super popular male lead, at which she either plays hard to get or becomes incredibly insecure about them being together.
-As said before, guy accidentally sees a girl naked/in underwear/changing/ or accidentally touches her boobs or it might even totally be the girl's fault. And even though it was CLEARLY an accident, the girl decides to turn street fighter on the guy and becomes angry and kicks his ass.
-I will protect you because you're a girl and I'm a guy and it's my job to protect you. Doesn't matter if you're more than capable of fighting yourself or even stronger than I am, because sexism!
-This is one that I see mostly in chinese/korean ones: Female lead is supposedly very strong and can kick any guy's ass. But oh no, a guy is now holding her hand behind her back and she can't move any more! Or oh no, even though she had years of martial arts training, she suddenly is incapable of using any of it efficiently and is even weaker than your average schoolgirl during the story!
These I kinda like or like a lot:
-Guy doesn't win with talent or secretly being the chosen one. Instead he wins his fights because of hard work and determination. (mostly the hard work.)
-The lead character is a goofball, but knows when to get serious and manages to make friends because of his loyalty and determination. It's incredibly cliché, but I still like it. (Luffy, Shioon and Kenichi I'm looking at you!)
-Manga where the 'battles' are done though some weird/quirky activity. Like cooking, or acting. It's not a great plot device, but it's hilarious to read imo.