The British Areas

United Kingdom
England
Scotland
Wales
Northern Ireland

Great Britain 
England
Scotland
Wales

British Isles
Ireland
Great Britain
Isle of Man
The Shetlands
Isle of White
Anglesey
Jersey
Guernsey
Others

Countries in the British Isles
Ireland
United Kingdom

Great Britain is the name of the larger island in the British isles. It is made up of three countries. The second biggest island in the British Isles is Ireland which has two countries, The Republic of Ireland and Northern Ireland

British Overseas Territories
Gibraltar (small area at the south of Spain)
Bermuda
British Virgin Islands
Anguilla
Montserrat
Cayman Islands
Turks and Caicos (all above but of the Caribbean)
Pitcairn Islands (an island near Chile)
Falkland Islands (of the coast of Argentina)
Saint Helena, Ascension and Tristan da Canha
South Georgia and South Sandwich Islands
British Antarctic Territory (area in Antarctica)
Akrotiri and Dhekelia (near Cyprus)
Britsh Indian Ocean Islands (near India)

These Islands are far away from the British Isles but are ruled by the UK Parliament.

Commonwealth
United Kingdom
British Overseas Territories
Canada
Australia
New Zealand
Jamaica
Barbados
The Bahamas
Grenada
Solomon Islands
Tuvalu
St. Lucia
Belize
Antigua and Barbuda
St. Kitts and Nevis

These countries are ruled by Queen Elizabeth II but not all of them are ruled by the  UK Parliament

British Empire

The British Empire no longer exists but here is a map of the Empire when it did exist.