Emily Brings home a bottle with some bits of wood in it. Professor Yaffle tells them it is a ship-in-a-bottle. Bagpuss finds this puzzling, wondering where it would sail to. With the help of a nursery rhyme and a poem about Mermaids, the ship is magically reassembled.

Emily brings in a very old, dirty bit of rag, which as ever, Yaffle can see no value in. The mice start to vigorously clean the cloth, before being stopped by Madeleine. She implores the mice to be more gentle with it, and they clean it lovingly, to reveal an old cushion cover depicting an owl. The mice run away, scared by the owl, but come back when they realise it isn't real...

Emily brings a collection of ornamental enamel pieces. For a while these are a cat and a bird, but later they decide that it is a necklace of jewels for a frog princess who doesn't fancy any of the young princes, so she kisses a frog...

One dirty old shoe is left for Bagpuss and his friends to repair, and the mice suggest that it might be suitable for living in, which leads Madeleine to sing along with the mouse organ. Yaffle doesn't believe anyone could live in a shoe, so the mice trick him by going around and around, and appearing out of the shoe!

Nobody really knows what the floppy tartan cloth object that Emily has brought is, except Bagpuss. He says it is a small soft Hamish, a Highland beast that keeps its distance because it makes a terrible noise, like bagpipes played backwards. He tells a heart-rending story of Tavish McTavish, who also made a terrible noise, playing his bagpipes forwards, and his friendship with the Hamish.

Bagpuss and his friends learn of a Chinese wise man, his turtle friends and his love of solitude.

Emily brings a tatty straw elephant without any ears. Bagpuss and his friends try to solve the mystery of how it lost its ears by singing songs...

Emily leaves a box in front of Bagpuss, which has windows and a front door. The mice open it up, revealing the Marvellous Mechanical Mouse Mill, and Gabriel and Madeleine sing a song about milling with help from the Mouse Organ.

Emily brings in a model of a giant, and Bagpuss tells the story of how a kindly witch makes an sad giant happy.

Emily brings in a plant called Old Man's Beard. The friends try to figure out why it is has this name, and Bagpuss tells the story of a king who used his silvery beard to make carpets. Madeline sings a song about a master weaver.

Yaffle comes down from his bookend to find a basket, containing items. The mice search it and find a twig broom, which leads Madeleine and Gabriel to sing a song about a woman who brushes the cobwebs out of the sky.

Emily brings in a piece of cloth, which Charlie Mouse identifies as a house for a rag doll, leading to a several rag jokes from the mice! They fold up the cloth so that Bagpuss can use it as a thinking cap, and create the story of Uncle Feedle, which Gabriel and Madeleine sing along to.