This collection by Terry Greaves takes a good-humoured look at ten nursery tunes and reclothes them in a variety of popular styles. Swing, Rock and Latin beats propel these pieces forwards to provide some excellent light-hearted or encore fare. A second collection is published as More Swinging Rhymes.

• Baa, Baa Blue Sheep: No. 2
• Bonny Bobby Bluetoe: No. 10
• Lavender's Blue Rock Waltz: No. 8
• Little Blue Jug: No. 4
• Little Blue Peep and Little Boy Blue: No. 3
• Nutty Little Blue Tree: No. 5
• Oh, the Blue Old Duke of York: No. 6
• Polly, Rock the Kettle on: No. 7
• Three Blue Mice: No. 1
• Waltz - Latin - Rock a'Bye Baby: No. 9