I skipping rhyme from Britain, early 60s:

All in, a bottle of gin
All out a bottle of stout.

London bridge is falling down, falling down, falling down
London Bridge is falling down, my fair lady.

And two kids would make the bridge by holding hands and lifting their arms as a bridge the others go under then, at my fair lady, the arms come down and trap the kid and who then gets swung back and forth between the arms to the rhyme "build it up with sticks and stones sticks and stones, sticks and stones; build it up with sticks and stones my fair lady." Then the captive gets released and goes behind one of the bridge "arms and holds them round the waist, then when there are no more people are left it then becomes a tug of war, with everyone hanging around the waist of the person in front - wild fun!!!

And for tossing two balls (juggling style sort of up against a wall):
Ebecunkeber King of the Jews
Brought his wife a pair of shoes
When the shoes began to wear
Ebecunkeber began to swear
When the shoes began to leak
Ebecunkeber began to squeak

When the shoes began to crack
Ebecunkeber said "Take them back!"
when the store refused to trade
Ebecunkeber began to rage
When the rage began to stop
Ebecunkeber..... I can't remember any more - and I have no idea how the King's name is spelt... This is a phoentic rendition of how I remember saying it