The Gold Diggers of Broadway (1929) was adapted from a Broadway play called "The Gold Diggers" than ran for 282 performances in 1919.
Photo from: http://songbook1.files.wordpress.com/2012/01/gold-diggers_1919_program_pg172.jpg
Warner Brothers created the silent film in 1923.
Photo from: http://www.tias.com/stores/lbac/pictures/0810022a.jpg
The film of the week, the lost Gold Diggers of Broadway was also produced by Warner Brothers in 1929.
And finally, Busby Berkeley's Gold Diggers of 1933 (also produced by Warner Brothers) was created and is probably the only preserved version of this entire "Gold Diggers" collection.