In both stories they Mr. White and Pandora both have a lot a curiosity. They also both have an item that triggers their curiosity. They try to ignore the items but their curiosity gets the best of them.
Pandora and Mr. White both let their curiosity take over. They both do things that they will regret. Mr. White wishes for money and his son dies because of it. Pandora opens the box and all the evil is released into the world.
In the stories they take place in two entirely different places. They also take place in totally different time periods. With different technology and ways of life.
In the stories they have too different objects. Mr. White has a monkey paw that grants wishes. Pandora has a box that she doesn't know what is inside.