And again that excludes their clear ancestral links to Scotland, Wales and the island of Ireland as a whole.
Additionally, their ancestry is European as they're related to all of Europe's Royal families.
George I, Elector Of Hanover, wasn't even fully German either as his mother Elizabeth of Bohemia, was the daughter of James VI - the King of Scotland who in 1603 became also James I of England - and his Danish wife, Anne.
James was the first styled British King of the United Kingdom. All Monarchs, thereafter, are all British Monarchs rather than Scottish or English.
Their Irish ancestry is quite extensive too.
Brian Boru is the ancestor of every English monarch from Henry IV (succ 1399) to the present day.
Elizabeth I descends from Thomas Butler, 7th Earl of Ormond and hence from John Fitzgerald, 1st Earl of Kildare.
Elizabeth II descends from, among others:
Brian Boru, High King of Ireland (died 1014).
Aoife Mac Murrough, Princess of Leinster, who married Strongbow in 1170.
James Butler, 1st Duke of Ormonde (died 1688).Descent: Through Bowes-Lyon and Lyon and Stanhope from Elizabeth Butler.Elizabeth II has other descents from earlier Earls of Ormond.
Donal Reagh MacMurrough-Kavanagh, King of Leinster (died 1476).Descent: Through James Butler, 1st Duke of Ormonde.Donal Reagh descends from Art Og MacMurrough-Kavanagh, King of Leinster (died 1417).
Gildas O'Reilly, Lord of East Breifne (1300s).Descent: Through James Butler, 1st Duke of Ormonde from Sir Richard Butler and his wife.
Dermod O'Brien, 5th Baron of Inchiquin (died 1624).Descent: Through through her mother and Wellesley and Hill and Boyle.Hence descends from, among others, Murrough O'Brien, the last King of Thomond (died 1551) and Connor O'Brien, King of Thomond (died 1540) and Conor "na Suidane" O'Brien, King of Thomond (died 1268) and Domnall Mor O'Brien, King of Thomond (died 1194).
Gerald Fitzgerald, 11th Earl of Kildare (died 1585).Descent: Through Inchiquin and Nugent.Hence descends from Garret Og Fitzgerald, 9th Earl of Kildare and Garret Mor Fitzgerald, 8th Earl of Kildare and Rowland FitzEustace, Baron Portlester.Elizabeth II has other descents from earlier Earls of Kildare.
James Fitzgerald, 10th Earl of Desmond (died 1529).Descent: Through 1st Duke of Ormonde from James Butler, 9th Earl of Ormond by his wife Joan Fitzgerald, daughter of 10th Earl of Desmond.Elizabeth II has other descents from earlier Earls of Desmond.
The rebel Hugh O'Neill, Earl of Tyrone (died 1616).Descent: Through Wellesley and Hill and Stafford and MacDonnell and Magennis.Hence descends from Brian O'Neill, last High King of Ireland (died 1260).
The rebel James FitzMaurice Fitzgerald (died 1579).Descent: Through Inchiquin and Fitzgerald.
As you can see, the Royal Family's ancestral heritage is much more complex than you give them credit for.