Laurie Johnson - The Big New Sound Strikes Again (1965)

Nice album from Laurie Johnson and yes, it does include The Shake.

1.    It's Love
2.    Dear Friend
3.    Call Me Irresponsible
4.    The Shake
5.    Manuela
6.    Squaresville
7.    It's A Raggy Waltz
8.    Beauty Jungle Theme
9.    I'm Old Fashioned
10.  Varsity Drag
11.  Minor Bossa Nova (see sample below)
12.  Sabre Dance

Alternate download link.