Of course Kenny Ball had more chart hits than any other UK trad jazz band, so there are more of his you could include, but I guess you don't want one artist to dominate the proposed album (other hits of his include Samantha, Sukiyaki, Acapulco 1922, I Still Love You All, Casablanca, Rondo, Hello Dolly, etc., etc.)

Strangely enough WLD I did do something like this myself a while ago. I can't remember what tracks I had on the CD, but probably most of what you had above would be there.

IIRC I included some tracks by Bob Wallis (Come Along Please, Chinatown) and Chris Barber's Whistling Rufus.

You could include Chesapeake Bay, which Lonnie Donegan recorded with the Clyde Valley Stompers (a skiffle connection there, slowly getting back towards the thread subject!)

These weren't all chart hits, but were popular with trad jazz fans at the time.

Just realised this doesn't have much to do with R&R - sorry folks :-)