What is a good thesis statement for a literary analysis using characterization concerning The Great Gatsby?

A thesis statement for any essay depends on what you want
to say.  Therefore, I can only guestimate or throw out some topics and statements for
you to consider, without any idea whether or not they're what you're looking for.  Some
possible thesis statements are:

• Characterization
  of Daisy reveals that Gatsby's view of their relationship was always an
  illusion.


• Nick's characterization of Tom and Jordan
  demonstrates that he is an unreliable
  narrator.


• Characterization of Meyer Wolfsheim is
  stereotypical and reveals anti-semitism on the part of
  Fitzgerald.


• Characterization of Daisy reveals her to be
  more than just a wicked rich girl who enjoys toying with others'
  lives.


• Characterization of Gatsby in chapter three
  demonstrates him to be polite, considerate, and a bit shy. 
  

I don't know if any of the above will help,
but they should provide you with some samples.