Davis's films include Porgy and Bess (1959), Robin and the Seven Hoods with fellow Rat Pack members Frank Sinatra and Dean Martin (1964), Sweet Charity (1968) and Taps (1980). While Davis found his greatest success as a performer in the 1950s and '60s, he continued to entertain and record until the early 1980s.
Davis married Swedish actress May Britt in 1960, when interracial marriages were forbidden by law in 31 states. The couple had one daughter and adopted two sons before divorcing in 1968. Davis was married to dancer Altovise Gore from 1970 until his death, on May 16, 1990, in Beverly Hills, California.