Care to elaborate?
LOL, I didn't aim to make this into a "criticize SR" thread but since you asked...
I liked SR in general. It was clearly made by people who cared about their work, which is why it's so frustrating for it to have these story and character issues. It would have easily been a masterpiece if it didn't have these huge problems on such a basic level.
Well, I guess my main issue with SR was that the trailers gave me the idea that the premise was so much more epic than it actually was. Not sure if WB marketing dept is to blame for this or...what.

The trailers (and I guess the marketing in general, although I can't recall any other particulars) said the movie was "Superman struggles to find his place in a world that has moved on without him." The film
actually was "Superman struggles to find a place in Lois's life, since she's moved on without him." So any decisions that Superman made regarding his "conflict" was immediately kind of lame compared to what
could have been.
Leaving for 5 whole years without telling
anyone, especially Lois, and his motivation for that was that it would be too painful for him to say good-bye to the woman he loves? Ehhh. But then again, I'm not a fan of chick flicks where the conflict would be resolved with just a little better communication. I just think those characters are all idiots and I have no sympathy for them whatsoever.
Lois is just a woman who can't communicate with her men. No sympathy from me, but that's a personal thing.
I'm not familiar with Luthor in the comics, but I get the idea that he's supposed to be this genius megalomaniac. He even mentions in SR that with the FoS crystals, he'll have technology beyond imagination. And what does he do with them? He uses them as a ginormous crystal-growing experiment. Because he thinks the few people that have survived this experiment, out of the "billions" that will die, will pay him lots of $$$ to live on giant crystals that you can't grow anything on.

I think that was the most egregious character issue.
Richard White, as portrayed in SR, is a nice guy caught in a love triangle he didn't want to be in. Not his fault that his fiance is in love with another man. All he wants is the best for Lois and Jason. I get that, so that's why I found him the most likable character.