You May Swing (2021 Remastered Version)
2021
The Fuzzy Pink Nightgown / A Breath of Scandal
2012
Big Fat Brass / Bill's Bag
2001
Naughty Operetta / Plays for Fancy Dancin'
2000
A Band Is Born / Big Band Bash
The Girls & Boys on Broadway / The Sweetest Swingin' Sounds of 'No Strings'
1997
The Best of "The Capitol Years"
1993
The Green Hornet
1966
Today
Ole Tormé: Mel Tormé Goes South of the Border With Billy May
1965
Bill's Bag
1963
Johnny Cool
I've Got a Lot of Livin' to Do!
1962
Pow!
Horn-A-Plenty
The Girls and Boys of Broadway
1960
Anita O'Day and Billy May Swing Rodgers and Hart
Anita O’Day Swings Cole Porter With Billy May
1959
Merry Andrew / Music of the Big Top Circus Band
1958
A Band Is Born
1952
Big Band Bash!
Big Fat Brass
Cha Cha!