Despite his nigh-infinite power and goodness, there are a number of themes that can make a good Superman story interesting:
1) Superman can't save everyone. His character can be forced to make difficult decisions about how and where to apply his efforts, knowing that he can't be everywhere at once. I don't recall this plot device being used much in the movie. Yeah, there are lots of civilians getting killed, but that doesn't even seem to phase our hero. I don't recall any critical decision moments.
2) Superman can't save everyone, again. Despite his powers, there are some things he just can't fix. As the recent Wired review mentioned, this is why Jonathan Kent usually dies from a heart attack - that's something that Superman's powers cannot help. The movie doesn't pick up on this theme at all.
3) Superman may be _good_, but he doesn't have to be omniscient. Well-meaning application of his powers can result in unintended consequences, and his character can be forced to play clean up and also show a does of humility.
There are plenty of others. The character has spawned multiple television and comic book series, after all.
I didn't really enjoy this latest portrayal of Superman; it feels like the writers didn't understand his "good" nature and how to properly create _interesting_ conflict. An hour of Superman employing brute force (the one thing that he has no problem with) is just not compelling.