The Reds finished 23 points and three places above their bitter cityrivals in the last campaign but games between the pair werehard-fought, close encounters.
The points were shared at Anfield after a Fernando Torres doubleearned Rafa Benitez's side a 2-0 win at Goodison Park - but the Toffessgained their revenge with an FA Cup fourth-round replay victory as theymarched all the way to Wembley.
The fans play a massive part in this fixture and with this in mindwe've asked two of the most passionate to select their 25 favouriteplayers from their team.
In the blue corner Sportsmail's Jerry Hayes says 'My days as an Evertonian began in 1970, with Harry Catterick'sChampionship-winning side and the midfield 'Holy Trinity' of Ball,Kendall and Harvey.
'I am a Londoner, and inherited my team through my Cheshire roots,so most of my early experiences were as an away supporter at Highbury,White Hart Lane and Upton Park. It has been an interesting journey,through the largely uneventful Seventies and the glory years of themid-Eighties and back.
'My first game was a 4-0 defeat at Arsenal, which I watched from theClock End surrounded by Gunners fans. Sometimes I think it might havebeen easier if the experience had put me off'
and in the red corner, golf correspondent Derek Lawrenson 'Myfamily have had Anfield season tickets for almost 60 years now, sothey've come to be regarded as heirlooms. It's a classic Liverpoolhouseholdit doesn't matter how extended it becomes, familygatherings invariably come back to talking about football at somepoint.
'Happily, every single member is, and always has been, of the redpursuasion. I currently own two of the tickets, and haven't missed agame at Anfield other than for golfing and holiday commitments for Ihate to think of how many years.
'As for the interminable debate aboutRafa, the reason you hear no protests from the fans inside Anfield isthat watching Liverpool at home this calendar year has been moreenjoyable than at any time since the glory days of the 1980s.
'My listtakes into account every player who has played for Liverpool sinceKevin Keegan left in 1977.'
Today we count down 20-16 from both sides and pick an overallwinner. We'll publish another 10 players every day this week and revealthe best of the best, according to Sportsmail's team of experts, onFriday.
Read Nos 25-21
20 Adrian HeathProvided the pace and spark for Howard Kendall's fabulous Eighties team. If he'd been playing today 'Inchy' would be at somewhere like Real Madrid or Barcelona by now.
Jan MolbyFans loved him, and not just because he looked like one of them. When he started sounding like one of them as well, the romance was complete. Molby wasn't fat, he just appeared it.
Verdict - Molby the great Dane19 David UnsworthThe best thing about 'Rhino' is that he was rubbish at every other club he played for. But put him in an Everton shirt and he was Mr Reliable.
Steve NicolDidn't he play in goal once? He played everywhere else. Alongside Stevie G, the most versatile Liverpool player I have seen, and the most underrated.
Verdict - Steve just Nics it18 Kevin CampbellI took my nine-year-old son to watch Everton for the first time at Watford, keeping my fingers crossed. Campbell scored two and celebrated right in front of us. It brought tears to my eyes.
Sami HyypiaOh Sami, why the hell did you go off and play in Germany? Aged 60 and standing on one leg, he'd still be better than the unpronounceable Greek who's replaced him.
Verdict - Sami's safe here 17 Mikel ArtetaHis absence has been the biggest blow to our season so far. He has been at the creative heart of David Moyes's recent successes.
Ronnie WhelanYou only ever really noticed when he didn't play. If all the great teams he starred in could be likened to an orchestra, he would be the conductor.
Verdict - Pass marks for Arteta16 Tim CahillGreat to have such a livewire in the side again. Always a handful, always good to watch. Always gives it everything he has got in him.
Ray KennedyOnly a genius like Bob Paisley could have spotted that inside a centre-forward who helped Arsenal to the Double lurked a silken left half.
Verdict - Ray of light Result - Everton 1 Liverpool 4*Overall result will be published on FridayThe best of the rest of The ListSportsmail's top 50 Premier League teen sensationsSportsmail's top 50 players from Tottenham or ArsenalSportsmail's top 50 football kits of all time Sportsmail's top 50 sporting feuds of all timeSportsmail's 50 great sports photographsSportsmail's worst 50 strikers in the Premier LeagueSportsmail's top 50 stars who failed to play fairSportsmail's top 50 midfield maestrosSportsmail's top 50 commentators of all timeSportsmail's top 50 sporting venuesSportsmail's top 50 free-kick kingsSportsmail's top 50 England heroesSportsmail's top 50 performers of the season so farSportsmail's top 50 all-time managers in BritainSportsmail's top 50 goal poachersSportsmail's top 50 footballing traitorsSportsmail's top 50 FA Cup heroesSportsmail's top 50 signings of the season Sportsmail's greatest Wembley finals in historySportsmail's top 50 biggest hitters in cricketSportsmail's top 50 British & Irish LionsSportsmail's top 50 Ashes heroesSportsmail's top 50 partnerships
Explore more:People:Rafa Benitez, David Unsworth, David Moyes, Kevin Keegan, Sami HyypiaPlaces:Barcelona, Liverpool, Germany, Goodison Park, Upton Park