I loved Edward Scissorhands as well, a very moving performance, and movie.
BUT, in the interest of character parts...I thought his squimish and unconfident Ichabod Crane in "Sleepy Hollow" was humorous and entertaining..
Also, his crazy and unique performance in "Fear and Loathing in Las Vegas" was very memorable.
-Hard to choose one! -Eating Gilbert Grape was a very good movie as well...