The Grandmother hadn't seen Little Caesar before but says Edward G. Robinson was her daddy's favorite actor. She said Douglas Fairbanks, Jr., also in the movie, was more what she liked. This 1931 pre-code crime film was Robinson's first big, successful role, and he played many gangster-types after that.
youtube has the film here:
Slant Magazine says Robinson is the only thing worthwhile in the film. DVD Talk says, "Edward G. Robinson has to carry the entire show as none of the other actors seem particularly comfortable in their roles, especially the miscast Douglas Fairbanks, Jr.".