Bournemouth beaten at home by Watford as Hal Robson-Kanu sent off after scoring West Brom winner away at Burnley.
Premier League round-up: Jese makes sensational Stoke debut with winner against Arsenal
Stoke City 1 Arsenal 0
Stoke: (Jese 47')
Jese made it a memorable debut in the Premier League, scoring on his first outing for Stoke City with what proved to be the winner against Arsenal.
The Spanish striker, signed on a season-long loan from Paris Saint-Germain last week, looked sharp throughout at the Bet365 Stadium before his strike just after half time broke the deadlock.
It means Mark Hughes’ side avoid a repeat of last season when they had to wait until Ocotber to record their first league win of the campaign.
Arsenal had legitimate claims to a goal themselves, as replays showed record-signing Alexandre Lacazette was on side when he rifled the ball home from inside the Stoke area before being ruled out.
Liverpool 1 Crystal Palace 0
Liverpool: (Mane 73')
Sadio Mane got Liverpool's season up and running with the only goal as they laboured to a 1-0 win over bogey team Crystal Palace.
The Senegal international stabbed home in the 73rd minute after starting the move from wide on the left to finally break the visitors' resistance.
For long periods the game was crying out for the sort of defence-splitting piece of magic usually provided by Philippe Coutinho against teams who come to frustrate.
It is why Barcelona are so keen to get their hands on him - having had a £118 million (Dh556m) bid, their third offer, rejected on the eve of the match - but with the Brazil international currently sidelined by a back injury Liverpool looked for inspiration from elsewhere.
It was Mane who eventually made the breakthrough.
The 25-year-old winger, Liverpool's top scorer in the league last season, exchanged passes with Andrew Robertson and as Luka Milivojvic got himself in a tangle and bundled the ball goalwards the Senegal international pounced to make it successive defeats for new Palace manager Frank de Boer.
Bournemouth 0 Watford 2
Watford: Richarlison (73'), Capoue (86')
Brazilian striker Richarlison struck his first Premier League goal as Watford ground past Bournemouth 2-0 at Dean Court.
The summer signing from Fluminense converted Andre Gray's cross for Watford's first goal, before Etienne Capoue sealed the Hornets' win with a late 25-yard strike.
Burnley 0 West Bromwich Albion 1
West Brom: Robson-Kanu (71')
Red card: Hal Robson-Kanu (West Brom)
Hal Robson-Kanu claimed the winning goal but was later sent off as 10-man West Bromwich Albion edged home 1-0 at Burnley.
Wales forward Robson-Kanu was dismissed for an elbow on Matt Lowton five minutes from time, and some 14 minutes after putting the visitors into the lead.
Leicester City 2 Brighton & Hove Albion 0
Leicester: Okazaki (1'), Maguire (54')
Riyad Mahrez inspired Leicester to breeze past toothless Brighton as they cruised to a 2-0 win.
Shinji Okazaki cashed in on goalkeeper Mathew Ryan's error after just 52 seconds to set the tone at the King Power Stadium.
Harry Maguire then netted on his home debut as Craig Shakespeare's men strolled to their first win of the season on Saturday.
It was as easy as any win comes in the Premier League and carefree Mahrez led the charge as he taunted Brighton, shaking off continued transfer speculation.
He was back to the form which earned him the PFA Player of the Year award in 2016 during Leicester's shock title success.
Southampton 3 West Ham United 2
Southampton: Gabbiadini (11'), Tadic (38' pen)
West Ham: Hernandez (45', 74')
Red card: Marko Arnautovic (West Ham)
Charlie Austin's stoppage-time penalty sealed Southampton's 3-2 win over 10-man West Ham United at St Mary's.
Southampton raced into a two-goal lead, ending their home drought at 556 minutes, as Manolo Gabbiadini and Dusan Tadic found the net.
Marko Arnautovic was red carded for an elbow on Jack Stephens, while former Southampton defender Jose Fonte conceded the penalty that allowed Tadic to put the hosts 2-0 to the good.
Italy striker Gabbiadini ended his own nine-match barren run, with the hosts seemingly coasting after two goals and with West Ham reduced to 10 men.
Javier Hernandez poached two goals to level the scores however, and Southampton appeared to be heading for a frustrating draw.
But Pablo Zabaleta fouled Maya Yoshida at the death, and Austin dispatched the second spot kick of the match, to seal the spoils.
Swansea City 0 Manchester United 4
Man United: Bailly (45'), Lukaku (80'), Pogba (82'), Martial (84')
Manchester United maintained their dream Premier League start as goals from Eric Bailly, Romelu Lukaku, Paul Pogba and Anthony Martial secured a 4-0 victory at Swansea City on Saturday.
Having put West Ham United to the sword with another 4-0 win in their opening game of the new campaign, United looked like being made to settle for a narrower scoreline for much of the game in South Wales.
But after they had claimed the lead at the end of a tight first half through Bailly's first goal for the club, they netted three times in a stylish five-minute spell late in the game to give the scoreline an emphatic look.
It meant maximum points, eight goals and two clean sheets in their opening two games for Jose Mourinho's side.
Swansea were aggrieved that Pogba remained on the field to score after escaping a second yellow card for a foul on Martin Olsson late in the first half.
Lukaku doubled United's lead on 80 minutes when he finished coolly after a neat pass from Henrikh Mkhitaryan.
That was the signal for Swansea's defence to go missing as Mkhitaryan fed Pogba, who beat Lukasz Fabianski with a neat chip on 82 minutes to make it 3-0.
Substitute Martial then collected a Pogba pass and weaved his way through a static home defence on 84 minutes to complete the scoring with a neat finish into the bottom-right corner.
Read Andy Mitten's analysis: Manchester United on to something good
- Huddersfield Town v Newcastle United, 4.30pm
- Tottenham Hotspur v Chelsea, 7pm
- Manchester City v Everton, 11pm