Can anyone tell me where I can get (or order on the Internet) a copy of the London Cats soundtrack?

http://www.amazon.com
This one is probably the easiest, but requires a credit card to buy products. CATS Broadway and London soundtracks are available in both New and Used condition. The "Used" CDs can have some bargains - "unopened..." So you might try the "used" section.

Some other companies can offer music, but Amazon might be the best of the lot...

Respectfully,
Rumblepurr
The Writer Cat

A lot of Cats fans I know purchase their recordings from footlight.com.

go to either cats music or turtle's. either one should have it