I don't like weird fan art, I don't like weird shipping talk, and I don't like when people blame characters for shit they didn't do, just because they were in the general vicinity. Korra didn't screw up and lose connection to her past lives, she had the avatar spirit literally ripped from her body and attacked. When Ba Sing Se fell, it's not that she didn't care, it's that she was captured and then stuck in the damn desert, and as soon as she got out she had to deal with Zaheer trying to mass murder all the airbenders. Then she was fucking paralyzed.
What did you want her to do before that? Start a fucking war with the Earth Queen and take over Ba Sing Se herself? She already went in and rescued all the airbenders, when really let's be honest, the Queen had the legal right to conscript her citizens.
I edited my post. But the tldr; is, I agree that fans are too harsh on Korra (especially with Book 3). But I think the writers are to blame for how they've executed the story/character. I still shake my head at their comments about her Book 2 arc (making really awful/insufferable on purpose, to make her redemption seem stronger). They are to blame for a lot of the dislike for her as Avatar.
As far as the shipping talk and bad fan art, sorry? I'm 100% sure that everyone in this thread that do this, are just having fun and aren't being serious. There is nothing else to talk about before an episode airs, so they are just wasting time and being silly. There is no doubt serious shippers, and crazy fans on tumblr and reddit that take it seriously. I don't think anyone on here is like that (sorry if there are), but are more so just having fun and poking fun of those aspects of the fandom. I know I'm not serious at all when talking about shipping.