Ding Dong Little Bell - Ding Dong Little Bell is very old nursery rhyme (from 1580).

Hey Diddle Diddle - Popular rhyme where a cat plays the fiddle and a cow is jumping over the moon.

Little Robin Redbreast - Nursery rhyme about a little bird and a pussycat hunting for him.

Pussycat, Pussycat - Nursery rhyme about a pussycat, a Queen and a mouse.

The Farmer In The Dell - Very popular singing game.

There Was A Crooked Man - Strange (but fun) nursery rhyme about a crooked man who walked a crooked mile.

There Was An Old Lady Who Swallowed a Fly - Fun cumulative tale about an old lady who swallowed a fly. Is that a bit strange? :)

Three Little Kittens - American nursery rhyme about three little kittens who lost their mittens.