If I may inject, shipping came in LONG before anime spread outside of Japan. And most people usually associate shipping with various other communities before we even get into all the anime. Also will you please show me one anime that encourages people to wet their pants? I've never heard of that before in any anime.
With that out of the way, I'd like to say that there are many sub-genres of anime. It can range from the cute stuff, to the serious stuff, to the goofy stuff, to any mix in between and all the outlandish very weird stuff. Personally two animes I like are Assassination Classroom and Akuma no Riddle, both dealing with assassins trying to eliminate their target. While both have a serious undertone and subject matter, they still have room for some funny moments. And of course I love Neptunia, mainly because the characters are human takes on gaming consoles which really sparked my interest as I love video games.
(Sorry if this seemed rant-ish, but I tend to speak a lot when I'm passionate about something)