Just because I mentioned children's floating verses I'd like to follow through and list some [even though they may not be "zipper verses".
These separate verses come from some contemporary English language children's handclap rhymes and foot stomping rhymes with attitudes that appear to be rather widely known:
zing zing zing and ah one two three {or "at the bottom of the sea"} [an introductory verse for handclap rhymes]
"ask me no questions I'll tell you no lies"
"reeses pieces butter cup you mess with me and I'll mess you up"
"I'm sweet and fine like a bottle of wine"
"bang bang choo choo trane mess with me and I'll do my thang"
"my sign is Taurus * and that's alright cause all Taurus are out of sight" {or "dynamite"} * the next soloist names her own astrological sun sign
"Mama mama I feel sick send for the doctor quick quick quick"