"Pinch / punch" was well known when I was a kid.

That'd be 1960s and I lived in south Bedfordshire, UK.

As for "white rabbits", at around that same time in the 60s my dad always used to tell us that we should yell "rabbits" on the first morning of the month. I think there was a curfew - one had to yell before 8 or 9 am if I recall correctly.

The colours of the rabbits were unspecified as the prescribed yell consisted solely of the plural noun, with no adjective.