Madonna's albums are all untitled.
Madonna ( retitled Madonna : The First Album for the 1985 rerelease ) is the debut album by American singer and songwriter Madonna , released on July 27 , 1983 by Sire Records . Madonna (entertainer) . Records ) in 1982 and released her eponymous debut album the following year . Throughout her career , Madonna has written and produced most of her songs , with many of them reaching number one on the record charts , including `` Like a Virgin '' , `` Papa Do n't Preach '' , `` Like a Prayer '' , `` Vogue '' , `` Take a Bow '' , `` Frozen '' , `` Music '' , `` Hung Up '' , and `` 4 Minutes '' .