Jazz is great on clari too! I love jazz on both clari and sax, particularly soprano sax. I love jazz full stop

With backing tracks I've got Take the Lead similar to what upbeat recommended but mine's just jazz. I've also got a Gershwin book for clarinet with backing track, and on classical I've got "A classic top 10 for clarinet" which has got the following pieces:
Danny Boy
Fur Elise
Romance from Eine Kleine Nachtmusik
Slane
Ave Maria
Canon in D
Traumerei
Anitra's Dance from Peer Gynt
Waltz from the Sleeping Beauty
Gymnopedie 1, Erik Satie
This one also has piano part as well as CD backing. I forget how much it was and it doesn't say, but it was published by Kevin Mayhew.
Back to jazz I've also got Jeffery Wilson's Times Ten with backing CD - this is a studies book.
I've also got Big Band Hits with backing track - this has got in the following (they give the names of the performers associated with each piece, but there is no singing on the CD)
Beyond the sea - Will Young
Get Happy - Zoe Birkett
Let there be love - Darius Danesh
Mack the knife - Gareth Gates
Ev'ry time we say goodbye - Jessica Garlick
I get a kick out of you - Aaron Bayley
I've got you under my skin - Zoe Birkett
That ole devil called love again - Hayley Evetts
I won't dance - Will Young
Night & Day - Korben
Cheek to cheek - Rosie Ribbons
They can't take that away - Laura Doherty
Oh! Look at me now - Gareth Gates & Zoe Birkett