Here is my take
Henry VIII, King of England (b. 1491, reign, 1509, d. 1547)
[1] m. 1509, Catherine of Aragon (1585-1541)
[2]
1) Henry, Prince of Wales and Duke of Cornwall, later, Henry IX of England (b. 1510, r. 1547, 1572) [3] m. Renée of France (1510–1574)
2) Edward, Duke of York (b. 1511-1578) [4] m. 1532, Christina of Denmark (1521-1590)
3) Arthur, Duke of Richmond and Somerset, later additionally, jure uxoris, Duke of Viseu (b. 1513-1575) [5] m. 1533, Mary of Bourbon (1515–1538), m. 1540, Maria of Portugal, Duchess of Viseu (1521–1577)
4) John, Duke of Bedford and Cambridge, later additionally, jure uxoris, Duke of Suffolk (1514-1551 [6] m. Lady Frances Brandon (1517– 20 November 1559)
5) Prince Edmund, Duke of Clarence (1516-1577) [7] m. Lady Mary Howard (c. 1519-1557)
6) Prince Thomas, Earl of Eltham, later, Cardinal-Prince, Archbishop of Canterbury (1518-1589) [8]
[1] His death happens the same as OTL, having injured himself in a tournament in the late 1530s, leading to his obesity and other medical problems.
His reign is completely different however without the English reformation, no dissolution of the monasteries and foreign policy of anti-French
[2] Catherine lives an extra five years, to the age of 56, three years more than her mother, but not as long as her sister.
Her otl death was most likely sped up due to her living conditions and the mental strain to her health.
Her death left a mark on Henry, many expected him to remarry, however like his father, he would stay widowed for his remaining years, although there were plenty of ladies from court that made sure his remaining years were comfortable.
[3] The first son, Henry, enjoyed a magnificent early life, from the beginning with a grand celebration of his birth. His marriage to Renée was arranged through King Henry and his brother-in-law, Louis of France in 1515.
When Francis I took the throne, he was unable to break the betrothal. Catherine was hoping to get one of her nieces to marry her eldest son.
[4] Catherine would get her wish and would see her second son, Edward marry her great niece, Christina of Denmark, the younger surviving daughter of King Christian II of Denmark & Norway and Isabella of Austria. (IOTL she would marry the Duke of Milan and Duke of Lorraine)
[5] The first marriage was one of love, Arthur met Mary during the wedding of his brother to Renée. The marriage sadly only lasted under five years when she died. The second marriage was arranged by his mother in her final years.
[6] Although not a popular name in the royal family, since the reign of King John, Henry named his son this, in honour of Catherine's brother, John, Prince of Asturias and Girona. He was married to his cousin, Frances, son of Henry’s best friend Charles Brandon and Henry’s sister, Mary. This marriage also allowed for the dukedom of Suffolk to be brought back into royal hands.
[7] Edmund was married to Mary Howard, granddaughter of Thomas Howard, 2nd Duke of Norfolk and Edward Stafford, 3rd Duke of Buckingham.
[8] The final son, named in honour of Cardinal Thomas Wolsey, would be educated in the church and would be a prominent figure in England and Europe.