Should I include a bibliographical entry in the Works Cited pages for works I just mention? Should I include a bibliographical entry in the Works Cited pages for works I just mention?

For example, if I mention the work of an author by title just as an example without quoting from it, should I include an entry for it in the Works Cited page?
Yes.

A bibliographical entry allows readers to unambiguously identify and locate the work you mention. (Which they must be able to do if they would like to verify your claims about this work.)