Well, (shameless self-promo warning) if you want another example from Britain here's A Northern Lass and A Northern Frisk on YouTube.
The first is more of a tune with harmony, but the second tune is certainly what I'd call counterpoint, with two parts moving quite independently but in imitation of each other.
My arrangement of Northern Frisk was inspired by Alistair Anderson's 2 part arrangement of Geld Him Lasses which we also play, but haven't done on YouTube. (yet...)

Anahata