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 in 1993.
This is logical because 1993 saw the first conjunction of Uranus and Neptune in Capricorn - the first of the Aquarian aspects which were to last until 2011.
So , if the Age of Aquarius starts at the millennium, it began with this conjunction in 1993.