According to most astrologers Jesus' birth star was the Jupiter/Saturn conjunction in the sign of Pisces.
This dates from 7 BCE.
So the Millennium was really 1993.
This is logical because 1993 was the first of the conjunctions of Uranus and Neptune - the first of the Aquarian aspects which were to last until 2011.
So if the Age of Aquarius started at the Millennium, it began with this conjunction in 1993.