Michail Antonio, Diafra Sakho and Dimitri Payet turned the game on its head to leave Hammers fans in raptures and many pundits tipping the East Londoners for a Champions League tilt.
Bilic has overseen a stunning season so far since replacing Sam Allardyce in the Upton Park hotseat last summer.
Season has been a real treat for Hammers fans
Hammers fans have been treated to a string of rare achievements this season with a first win at Liverpool for 52 years and a first ever double and treble over the Anfield side in their history.
Manchester City, Chelsea, Arsenal and Tottenham Hotspur have also been put to the sword by the Hammers this season.
The Irons now have the same amount of points as they achieved in total last season... with nine games still to go.
And their win over Everton sealed another couple of firsts.
It was the first time in the club's entire history they have beaten both Liverpool and Everton away from home, with West Ham historically struggling on Merseyside.
But it was also the first time in 16 years West Ham have come from 2-0 down to win.
They almost managed it a few weeks ago after recovering from 2-0 down to draw 2-2 with Norwich City in a match would could so easily have been won but for Emmanuel Emenike missing a sitter.
Remembering THAT game vs Bradford
The last time West Ham came back from two goals down to win? Against Bradford City 16 years ago last month in one of the Premier League's all-time classic matches.
That day in February 2000 Harry Redknapp's side came from 4-2 down to score a thrilling 5-4 victory in a match that saw Paolo Di Canio and Academy starlets Joe Cole and Frank Lampard inspire a dramatic late comeback.
The Hammers trailed 1-0, led 2-1, fell 4-2 down and then finally pulled off an amazing win when Lampard – who had previously argued with Di Canio before the Italian netted the penalty which made the score 3-4 – scored with seven minutes to go.