There are so many great stories out there that it will be difficult to choose one story only. In my opinion, a great comparison could be made with the short story "Gift of the Magi," by O. Henry. This can be an interesting comparison for several reasons.
First, both stories deal with the topic of Christmas. Hence, you can write a paper on the theme of Christmas.
Second, the characters of Scrooge and Jim and Della are so different. Jim and Della of the "Gift of the Magi" are the epitome of sacrificial love and giving, whereas Scrooge is the just opposite, at least at first. You can ask why Jim and Della are the way they are and why Scrooge is the way he is. You can also explore their social and economic situations as well. Jim and Della are portrayed as very poor. What make them generous in their poverty?
Third, you may want to focus on Scrooge's trasformation and tie in the moral of the "Gift of the Magi." O. Henry states that Jim and Dell are like the Magi of the birth narratives of Jesus in the gospels, namely wise. Is Scrooge wise? If so, how?