Margaret Beaufort, the Archbishop of Canterbury and the Duchess of Norfolk acted as godparents for Margaret Tudor, the daughter of Henry VII and Elizabeth of York and the wife of James V.
The Archbishop of Glasgow, the Earl of Bothwell, and the Countess of Huntley were James V’s godparents.
The Dukes of Rohan and Soubise were Charles I’s godfathers.
Pope Urban VIII was Henrietta Maria’s godfather.
The Earl and Countess of Northumberland acted as godparents for Mary, a daughter of James I and VI and Anne of Denmark.
The Marquis of Worcester and the Duke and Duchess of Albemarle were the godparents for Edgar, a son of James II and Anne Hyde.
Charles II, James, Duke of York (later James II), and the Countess of Wemyss acted as godparents for the Duke of Monmouth’s eldest son.
Don Francisco de Mello was Catherine of Braganza's godfather.
Pope Clement XI was Clementina Sobieska’s godfather.
James I and VI was baptized as a Catholic. Elizabeth I's representative boycotted the christening because it was a Catholic ceremony, but she was still considered his godmother in spite of this snub. James was raised as a Presbyterian, but I found no evidence that there was a second formal christening ceremony or that new godparents were appointed for him.