George I of Georgia (b. 998)
There was also a Giorgi I, Catholicos of Kartli who ruled in 677–678.

Giorgi I (Georgian: გიორგი I) (998 or 1002 – 16 August 1027), of the House of Bagrationi, was the king of Georgia from 1014 until his death in 1027. He was 2nd king of United Georgia after his Father Bagrat III. He spent most of his thirteen-year-long reign waging a bloody and fruitless territorial war with the Byzantine Empire.