There's more. In Europe, Africa and Asia, the Blue Moon will dip into Earth's shadow for a partial lunar eclipse. At maximum eclipse, around 19:24 Universal Time, approximately 8% of the Moon will be darkly shadowed:
A search of NASA's Five Millennium Catalogue of Lunar Eclipses provides an approximate answer. In the next 1000 years, Blue Moons on New Year's Eve will be eclipsed only 11 times (once every 91 years). A year of special note is 2848 when there will be two lunar eclipses in December--on Dec. 1st and Dec. 31st. Such a double-Blue Moon-lunar eclipse ending on New Year's Eve appears to be a millennium-level event. That's rare.