A few tropes that I've noticed are:
Cars that unrealisticly turn 90 degree corners (Deathnote, Lupin III Fiat\2cv chase)
Unrealistic driving physics in serious animes (You can't go 60+ and drift about in a Model T!)
Nearly any car that corners HAS to drift (Deathnote, FMA, Lupin III)
Slow-Mo effects, these are okay sometimes.
Still vehicles with moving backgrounRAB, like old movies.
A cheap animation technique where grass or the background may move while a character walks in place, sometimes this is okay but in an episode One Piece and Fullmetal Alchemist 3 it looked bad, its a technique to avoid plus mouth flapping dosen't look as fake.
Puppy eyes, but thats a given with most animes
Rock music for intros
Robots, but thats not a bad thing.
Teenaged males as main characters that often have dreams like "I want to be king of the pirates!", "I want to be the best doctor in the world", "I'm going to be a Pokemon master!", "I'm going to be the best racer in the world someday!", "I'm going to be a Hokage!", and "I want to be the best sworRABman ever!".