Zatanna's ending sheds some light on more of the story
here are some of her clashes
She and Dr. Fate took as many people as they could and took refuge in the tower of fate. It became their stronghold that superman dared not attack due to his vulnerability to magic and since they did not do anything to make themselves threatening, they were left alone. Doing nothing didn't sit well with Zatanna but it was better then endangering the people there. When the reign was over, Zatanna played a huge role in caging meta humans. This was cool until they were given the death sentence. She teleported them all to the tower of fate where they will be incarcerated, but stay alive. Not sure what would be a worse fate.
here are some of her clashes