There have been countless memorable meetings between these two arch-rivals down the years. Here are five of Liverpool's very best wins.
5. 13/03/2012 - Liverpool 3-0 Everton
Steven Gerrard was a frequent match-winner for Liverpool and is arguably the Reds' best ever player. In his 400th Premier League game in March 2012, the captain delivered in the best way possible - banging in a hattrick.
His first goal was the pick of the lot. Martin Kelly’s low shot was parried by Tim Howard, but Gerrard had the composure and skill to send the ball gliding over the Everton goalkeeper and into the back of the net from 25 yards. With his weak foot no less.
Luis Suarez, Kenny Dalglish’s most successful signing, then created two goals for his skipper and Gerrard walked home with the match ball tucked safely under his shirt after a good day's work.
4. 28/01/2014 - Liverpool 4-0 Everton
This one was special. SSS were in full cry and Steven Gerrard was at it again. His early header from Luis Suarez's corner set Liverpool on their way to a famous and ruthless 4-0 rout of their neighbours at Anfield.
Daniel Sturridge's clinical finish and audacious lob saw him notch a fantastic brace before Suarez’s brilliant run and finish put the icing on the cake as the Reds scored four impressive goals, but there was something about the captain’s celebration that epitomised this night.
As he sprinted away in celebration, Gerrard’s eyes lit up Anfield. The sheer ecstasy was clear for all to see. Perhaps it was because Liverpool were finally making a statement near the top end of the Premier League table again.
3. 16/04/2001 - Everton 2-3 Liverpool
The best away win in Liverpool history? A last-minute winner at Goodison Park should do it. A 44-yard free-kick, you say? That's the perfect way to do it.
That's exactly what Gary McAllister did, winning the April 2001 derby at the death in the 93rd minute when an entertaining game looked set to end level.
McAllister, 35 at the time, famously arrived on a free transfer from Coventry City and proved to be an astute acquisition with his composure and experience. This goal would have been enough to repay any transfer fee - or more aptly, wages - in any Liverpool fan's eyes.
Liverpool twice led through Emile Heskey and Markus Babbel, but this was McAllister's day and it's one that will never be forgotten.
2. 06/11/1982 - Everton 0-5 Liverpool
Ian Rush. What a striker. He's up there with the best the Reds have ever had. He won the lot, breaking records along the way, and his exploits will remain etched in the memories of older-generation Liverpool fans forever.
In November 1982, Liverpool made the (very) short trip to Goodison Park and cleaned the floor with their opponents. Rush scored four goals in a one-sided rout - a post-war high for goals by a single player in a Merseyside derby.
What made it even sweeter for Reds fans - and even harder for Blues supporters - was that Rush had grown up as an Everton fan. His goalscoring numbers have ensured his place in Liverpool folklore anyway, but the four-goal haul at the home of the Stanley Park rivals makes his legacy even greater.
1. 1989 FA Cup Final - Liverpool 3-2 Everton
No matter how long this fixture continues to throw up clashes for the ages, one defining moment from the Merseyside derby will forever set it apart from other rivalries as a spectacle for football fans and, unsurprisingly, memories of Hillsborough took centre stage.
It was 20th May 1989, FA Cup Final day. Just five weeks after the Hillsborough disaster - a day which will always be remembered by the entire footballing world - the two Merseyside clubs faced off against each other on the pitch. Off it, however, the city was united, especially inside Wembley.
Both sets of supporters traveled down to the national stadium still reeling from the effects of that fateful day and they proceeded to commemorate those who lost their lives with a truly touching show of support in the stands.
It was a moving moment before a memorable game that even Blues fans won't begrudge the Reds from winning 3-2 in extra time.
John Aldridge - whose missed penalty famously cost Liverpool against Wimbledon in the previous year's final - opened the scoring. Scottish midfielder Stuart McCall equalised twice for Everton, but Wales striker Ian Rush's brace - his second in three years against the Toffees in an FA Cup final - earned the Reds an emotional victory.