...How about those with words in place of numbers, but used for counting, ie:

Eeny meenie miny mo
Catch a ****** by his toe,
If he hollers let him go
Eeny meenie miny mo

Eeny meeny macaraca
Rare rye dominaca
something something something (help!)
Om pom push!

One potato, two potato, three potato, four
Sure there are loads more...?
Jo