After the act of Union in 1707 the king or queen is more correctly called the monarch of Great Britain

Monarch
Reign
HOUSE OF WESSEX
Egbert
802-839
Aethelwulf
839-858
Aethelbald
858-860
Aethelbert
860-866
Aethelred
866-871
Alfred the Great
871-899
Edward the Elder
899-925
Athelstan
925-940
Edmund the Magnificent
940-946
Eadred
946-955
Eadwig (Edwy) All-Fair
955-959
Edgar the Peaceable
959-975
Edward the Martyr
975-978
Æthelred II (Ethelred the Unready)
979-1013 and 1014-1016
Edmund II (Ironside)
1016
DANISH
Svein Forkbeard
1014
Cnut (Canute)
1016-1035
Harold I
1035-1040
Hardicnut
1040-1042
SAXONS
Edward (the Confessor)
1042-1066
Harold II
1066
NORMANS
William I
1066-1087
William II
1087-1100
Henry I
1100-1135
Stephen
1135-1154
Empress Matilda (Queen Maud)
1141
PLANTAGENETS
Henry II
1154-1189
Richard I
1189-1199
John
1199-1216
Henry III
1216-1272
Edward I
1272-1307
Edward II
1307-1327
Edward III
1327-1377
Richard II
1377-1399
HOUSE OF LANCASTER
Henry IV
1399-1413
Henry V
1413-1422
Henry VI
1422-1461
HOUSE OF YORK
Edward IV
1461-1483
Edward V
1483
Richard III
1483-1485
TUDORS
Henry VII
1485-1509
Henry VIII
1509-1547
Edward VI
1547-1553
Jane Grey
1553
Mary I
1553-1558
Elizabeth I
1558-1603
STUARTS
James I
1603-1625
Charles I
1625-1649
COMMONWEALTH
Oliver Cromwell
1649-1658
Richard Cromwell
1658-1659
STUARTS (restored)
Charles II
1660-1685
James II
1685-1688
William III
1689-1702
Mary II
1689-1694
Anne
1702-1714
HOUSE OF HANOVER
George I
1714-1727
George II
1727-1760
George III
1760-1820
George IV
1820-1830
William IV
1830-1837
Victoria
1837-1901
SAXE-COBURG-GOTHA
Edward VII
1901-1910
WINDSOR
George V
1910-1936
Edward VIII
1936-1936
George VI
1936-1952
Elizabeth II
1952 - present