Here is a sampling of English Coronation liturgy – the chrismations:

On the palms of both hands, saying,
Be thy Hands anointed with holy Oil.

On the breast, saying,
Be thy Breast anointed with holy Oil.

On the crown of the head, saying,
Be thy Head anointed with holy Oil:
as kings, priests, and prophets were anointed:

And as Solomon was anointed king
by Zadok the priest and Nathan the prophet,
so be thou anointed, blessed, and consecrated Queen
over the Peoples, whom the Lord thy God
hath given thee to rule and govern,
In the name of the Father, and of the Son, and of the Holy Ghost. Amen.

Full text of liturgy of Coronation for Elizabeth II.

Interestingly enough, Blessed Anne Catherine Emmerich related that Christ taught the Apostles how to administer royal unctions on Christian kings on the evening of the Last Supper.