Honestly, I do understand the jury's decision to find her guilty only on the count of lying to a police officer, as others have stated here. There was a reasonable doubt that it was Casey herself who killed Caylee, and that the death was intentional. As far as we know, it could have been her story that she drowned and Casey's father covered it up. Since the jury couldn't agree on proving her guilty, we need to acknowledge that this is the way our justice system works: innocent until proven guilty.
Personally, I believe that Casey Anthony was guilty of murdering her daughter (yes, intentionally) and should have been guilty on all counts. However, I would rather her have not faced the death penalty. No matter how satisfying that would be to some people, it would not be the correct punishment. Of course, neither the death penalty nor life in prison would have brought Caylee back, but I believe life in prison would have been more appropriate. Let her sit in jail and think about what she probably did.