Pandora and Mr. White both were warned about the consequences. In Pandora's case that was the warning of Epimethius. For Mr. White it was the many warning of the Sargent Major that stoked their curiosity, which then leaded to demise.
Pandora and Mr. White were both anxious to see what their objects consequences were. Mr. White used his first wish fairly quickly. Also Pandora Wanted to see what was in the box for so long.
Pandora's story was way different than Mr. White's because it was to explain why we had all the bad things in the world. Mr. White's story's about how fate controls the world not someone's decisions. The story of the monkey's paw was more of a lesson about what you wish for.
Lastly the time periods are way different. Pandora's Box was taken place in Ancient Greece. While The Monkey's Paw was a more in the future where they didn't have electricity