In a later series the office installed a telephone where people (usually Peggy or Poppy), could phone in asking for particular things (examples include information about spiders and a nighttime picture to help someone sleep during the day).

The programme always featured a rhyme accompanied by Makaton sign language and a song performed by a marionette named Lizzie Dreams, who loved to sing and dance.

The Violinist and Counting Dots had a sidekick called Mr Domino (played by Peter Gunn, and later by Stephen Cannon).

It was later replaced by the Roundabout Stop, presented by Mr. Jolly (played by Robin Fritz), who maintained a fairground carousel called Rosie, whose platform initially did not have any objects to ride on.

The show featured Bitsy Bob (played by Michele Durler), who played music and made things, and initially, Bella and Baxter the Numbears, followed by puppets Morris Cog and Milly Sprocket (puppeteered by Nick Mercer and Michele Durler), who presented a segment called "Morris and Milly's Numerical Melodies", where they sang a song glorifying a particular number.

The Roundabout Stop also played host to an array of extra visitors to help with Rosie's puzzles, including, but not limited to, Rhythm Man (David Rubin), Dilys Litefoot (Teresa Gallagher), Paul Morocco, Allesandro Bernardi, Morton McKewan (Iain Lauchlan), Gladys Tootle (Sarah Davison) and Leaping Lindy (Caroline Hinds).

Children from local schools and organisations such as Chickenshed helped with the puzzles and performed the song at the end of the programme.

Due to Peggy's small size in comparison to Why Bird and Poppy, she would typically ride the ship or the tractor on the roundabout so that she could sit astride the vehicle's funnel, as it meant she could be seen better.

A picture associated with the adventure appeared in their shaped ticket (purple circle, red square, pink triangle, yellow diamond, green arch or blue rectangle), and these would combine to make the song, which ended the episode.

The special saw Mr. Jolly, again played by Andy Hockley, with Poppy, Why Bird and Peggy visiting a cottage for the weekend.

From 1994 onwards Peggy would leave clues for children to find her and she would also be joined by Parsnip (a brown rabbit) who first appeared about 1991–92, Poppy and/or Why Bird later in the episode.

Presenters included Vanessa Amberleigh, Colin Kerrigan, Ian Henderson, Sarah Davison, Teresa Gallagher, Neil Bett and Peter Quilter.

Humphrey, a unicyclist puppet, and Wobble, a roly-poly clown also took part in the stories and they sometimes accompanied Lizzie for her songs (see The Playground Stop).