Hate is a strong word, but there are a few anime cliches that do get on my nerves a little.
I'm okay with fan service. I even appreciate it most of the time. But when anime makes a point of doing it, it's invasive and distracting. I'm looking at you, Fairy Tail. I'm not even gonna get into ecchi
Obligatory Unnecessary Bleach Episode
This is kind of an extension of the first one, but almost every anime has at least one beach episode which exists solely for the purpose of fanservice. It is almost always a filler episode which may not even have any contextual basis. *cough* Bleach *cough* They're like bad fanfics made real. Though these episodes can be cute and fun, they get old fast.
The Overwhelming Power of Friendship
Need I say more? When all else fails, the hero always saves the day with the power of friendship! We all love our nakama, and this is a good inspirational message, but it's a little ridiculous, and it's everywhere, so it gets old even faster than the beach episodes. It's not so much that it's gotten annoying as just comical.