Well if you think about it, all of the options above can be used to describe any show, regardless of the country it comes from. To me though...I would think, and this is coming from a huge anime fan, its probably the super obsessed people that unforunately we have to deal with. I can understand some people get a bit excited, but when you are about to get in a fist fight with someone because you think a certain anime character is better than another, then is when its just bad.
Oversexualization is bad too, but for the most part a lot of the better quality anime does not push boobs in your face all the time. Needless to say, things like High school of the dead, while its shameless, its also pretty amusing(except that bathroom scene, you know the one).
Drama isnt too bad as long as you stay away from most "high school" anime types,as well as robot animes, although it does creep in to other genres of anime as well, like unfortunately one piece(the whitebeard/navy battle arc specificly, it almost seemed that they were shoving drama down our necks. I mean seriously, half that time luffy is just screaming "ACE!" over and over, yes we get you want to save your brother).
Some of the most famous cult animes have really odd stories, so really, I think it adds "originality" points, like Fooly cooly, or .hack, i mean who would have thought that an anime about a boy with a portal in his head, and an anime about an MMO gone crazy, would have been not just good, but great?
Finally, voice acting. Its really hit and miss for me, I mean DBZ had decent english voice acting, but have you ever heard the kai voice acter for goku in japanese? The guy sounds like he is freaking 12, it sounds so awkward with a character like goku(besides his chidlike qualities). Like I said though, its hit and miss, FMA had great english voice acters, Spice and wolf was good as well. Nowadays english dubs are increasing in quality, but I prefer the japanese for the most part. There are just certain things with the japanese voiceovers that dont translate well into english(or any other language for that matter), like word jokes (hm...like that fact that the word for god is also the word for paper, it would be very hard to translate a joke regarding those words into english).
Sorry for my mass wall of txt but those are my 30 cents.