The Slovenian - now the first woman to have broken the 2,000 points barrier - did even better than Austrian man Hermann Maier, who totalled 2,000 points exactly when he won the overall World Cup in 2000.
In one minute and 40.46 seconds, Maze bagged her ninth World Cup victory of the season and achieved the considerable feat of winning in all five alpine skiing disciplines in the same campaign.
She is only the second woman to achieve such a sweep after Croatia's Janica Kostelic in 2006.
"I've already been very happy but rarely as much as today," World Cup champion Maze told reporters.
"I don't know what I'm most happy about. So many things are happening to me today," added the Slovenian, who had only previously won once in a downhill World Cup race in St Moritz in 2008.
Maze's overall success could be even greater with races remaining through March.
American Laurenne Ross confirmed the brilliant form of the U.S. team in speed events this season by finishing second, 0.39 adrift.
Her team mate Alice McKennis crashed heavily on the tricky, icy Kandahar piste.
McKennis, the unexpected winner of a downhill in St Anton this season, had to be flown away from the course and no details on her conditions were immediately available.
In her home resort, Maria Hoefl-Riesch earned a solid third place, 0.50 off the pace.