Before I get to Oliver Stone and Brian DePalma's 1983 Miami-set remake of 'Scarface'...here's a background episode about the 1932 'Scarface', written by Ben Hecht and directed by Howard Hawks, the Steven Spielberg of the 1930's and 40's.
From that still-vital, seminal gangster film, I also found my way to some others:
Watch Scarface on Amazon Prime.
Watch Underworld for free here.
Watch The Public Enemy on YouTube.
Watch Little Caesar on YouTube.
Read about the fascinating life of Ben Hecht.
Read the BFI 10 Classic 1930's Gangster Films Article.