Canada, Australia, New Zealand, Newfoundland and South Africa (prior to becoming a republic and leaving the Commonwealth in 1961), with their large populations of European descent, were sometimes collectively referred to as the "White Dominions."
So yeah, what would lead to more similar colonies to that around the world, not just British but also French, German, Italian, etc.?
I guess Latin America doesn't count because of the Iberian practice of massive intermarriage.