This wasn't true in the UK when I was at school 20 years ago.
Admittedly, the 'general' history we did in the first 3 years of secondary school (11-14) we covered mostly western history, but it covered Romans, Greeks, Egyptians, etc. We did some English history (Boudicca, Alfred, is all I can remember now).
In the optional GCSE History I did (14-16) we did little English history as far as I remember and covered inter-war Germany + rise of Hitler, Vietnam war, Chinese Communist Revolution, formation of Israel, Cuban Missile Crisis and probably some more I've now forgotten.
EDIT: I actually now remember we did cover Cromwell + English Civil war as well as William the Orange and the Suez crisis, probably at least one of those in GCSE. Slightly modified to reflect this.
A lot of those do directly impact the UK, although when we covered China, it was still fairly weak compared to its present position in the world.