Recommended Music ...
This is a brief list of CDs that have a lot of danceable music.

Breakfast Dance and Barbecue - Count Basie (a must have)

Peter Davis and Lindy Hop Heaven ( every tune is danceable!)

Kansas City Shout: Big Joe Turner & Count Basie (slower tunes)

Lily Wilde & her Jumpin Jubilee Orchestra (Portland OR band)

Ella Fitzgerald & Count Basie : Ella and Basie

Ernestine Anderson: Concord Jazz Heritage Series

Slim Gaillard : 1937-38 or 1945 Vol. 2 (Chronological Classics, a French import)

Count Basie: The Complete Atomic Basie (slower Basie tunes)

Count Basie Swings, Joe Williams Sings

Lincoln Center Jazz Orchestra with Wynton Marsalis: Live in Swing City *

Lou Rawls with Les McCann: Stormy Monday *

Lou Rawls - Great Gentlemen of Song

Oscar Peterson: Night Train *

Carmen McRae (Priceless Jazz)

Oscar Peterson meets Louis Armstrong *

Ella Fitzgerald and Louis Armstrong (Again) - Verve label

Mary Stallings: Manhattan Moods

Really Swingin': Frankie's Favorites (classics)

Maxine Sullivan Sings 1955-56 (out of print)

Ray Charles: Blues + Jazz

Harry James: Trumpet Blues

Ray Anthony: Swingin' back to the 40's

Oscillating Rhythm (classic swing)

Jump Blues, R&B

Louis Jordan : One Guy Named Louis

Buddy Johnson: Walk 'Em

Slow Blues

Jimmy Witherspoon: Jazz Me Blues and Singing The Blues (both also have good swing tunes)

Alberta Hunter: Amtrack Blues (including "Handy Man")

Big Joe Turner: Boss of the Blues

tunes above marked with an * also have good blues tunes