Goals from Adam Lallana and Roberto Firmino put the home side ahead by halftime and they romped to victory with a Giannelli Imbula own goal and Daniel Sturridge strike after Stoke threatened an upset with a Jonathan Walters header.
Hazard's dribbling and movement, on and off the ball, constantly posed questions for the Liverpool defence and the winger, who was so central to Chelsea's title triumph last year, certainly looks back up to full speed.
Sergio Aguero's hat-trick led Manchester City to a 3-1 win over Arsenal on Sunday and back into second place in the English Premier League, two points behind leaders Liverpool.
The 19-year-old Mbappe followed up a domestic treble with Paris St Germain with a string of impressive performances in France's World Cup winning campaign.
News of all that's transpired on and off the football field
Salah back in Liverpool squad but may not be risked at Genk, says Klopp
Liverpool and Manchester United's globe-trotting squads must shake off the effects of international duty for one of English football's most eagerly-anticipated clashes on Saturday.
Premier League title race looks poised to be one of the most thrilling in years.
Leroy Sane struck the winner as Manchester City beat Liverpool 2-1 in a gripping English Premier League clash.
Images from the UEFA Champions League matches played on Wednesday night.
Unbeaten Liverpool have 45 points from 17 games with champions Manchester City, who beat Everton 3-1 on Saturday, a point behind.
Angelo Ogbonna leapt high to power home a header in the dying seconds of extra time to claim a timely first goal for the club as West Ham United sank Liverpool 2-1 on Tuesday to reach the last 16 of the FA Cup.
Bayern Munich slumped out of the German Cup semi-finals 2-0 on penalties to Borussia Dortmund.
Karius's manager Juergen Klopp said the keeper will be backed by the club.
Facts and figures ahead of Saturday's Champions League final between holders Real Madrid and Liverpool in Kiev:
Here are five talking points from the final weekend of the Premier League season:
Wenger dropped Rob Holding for the visit to Stoke, preferring Shkodran Mustafi alongside Nacho Monreal and Sead Kolasinac at the back.
Whatever happens in the title battle between Manchester City and Liverpool, which will go down to the final day of the season
Jordon Ibe came off the bench to drive home the winner as Liverpool took a big step towards reaching the League Cup final with a 1-0 victory at Stoke City in the first leg of their last-four tie on Tuesday.
Liverpool manager Juergen Klopp called for his players to "stay calm" and does not expect to expect wholesale changes against Burton Albion on Tuesday as they seek to quickly bounce back from their 2-0 defeat at Burnley.
Liverpool goalkeeper Simon Mignolet saved an early penalty and James Milner's shot was deflected into his own net by Havard Nordtveit for the English Premier League side's second goal in an end-to-end match.
Liverpool were sent spinning to a 2-0 defeat at promoted Burnley in the English Premier League on Saturday while Chelsea came from behind to win 2-1 at Watford thanks to late goals from Michy Batshuayi and Diego Costa.
Borussia Dortmund's Ciro Immobile struck twice in the second half to secure a 2-0 victory.
A preview of the line-up action in the English Premier League
Arsenal manager Arsene Wenger is to stand down at the end of the season after a reign of almost 22 years that made him the most successful boss in the Premier League club's history.
Liverpool took a giant step towards their first title since 1990 on Saturday when their 3-0 win at Bournemouth combined with Manchester United's 2-1 victory at Manchester City to leave the champions 14 points adrift of the Premier League leaders.
Liverpool players hail Juergen Klopp impact after defeating City.
Liverpool will attempt to sweep away the January blues on the last day of a wretched month when they host commanding Premier League leaders Chelsea at Anfield on Tuesday.
With Liverpool still to visit Chelsea, who trail them by nine points with two games in hand, Juergen Klopp's side may have to beat Brighton & Hove Albion on May 13 and rely on their superior goal difference to qualify for the Champions League, assuming they do not secure it by winning this year's trophy.
Liverpool started the ball rolling with a convincing 4-1 win at home to promoted Norwich and City responded a day later with an even more emphatic 5-0 victory at West Ham United.
Philippe Coutinho scored twice as Liverpool recovered from an early deficit to beat struggling Premier League champions Chelsea 3-1 at Stamford Bridge on Saturday and pile more pressure on Blues manager Jose Mourinho.
A last-minute own goal gave Liverpool a 2-1 win over Tottenham Hotspur to keep them top of the Premier League but Manchester City stayed two points behind having won at Fulham. Huddersfield Town were relegated after their defeat by Crystal Palace.
Images from EPL matches played on Saturday.
Liverpool's Sadio Mane marked his return from injury with a late goal to break Norwich City's resistance and secure a 1-0 win on Saturday to extend his side's Premier League lead to 25 points.
IMAGES from the English Premier League match played between Manchester United and Liverpool at Old Trafford on Saturday
IMAGES from the English Premier League matches played on Sunday.
Liverpool, five-times European champions and last season's Champions League runners-up, eased past the Bavarians and into the quarter-finals with two goals from Sadio Mane and one from Virgil van Dijk after a goalless first leg at Anfield.
Liverpool coach Juergen Klopp had praised Spanish clubs on the eve of the match, saying they had better scouting, coaches and player development than their English, German and Italian equivalents.
Nuggets of news coming from the English Premier League
Real Madrid coach Zinedine Zidane said he was disappointed that he was only asked about the referee's decisions after his side earned a 2-1 victory at Real Sociedad on Sunday to climb above Barcelona and top La Liga.