Man Utd 4 QPR 0
Southampton 4 - 0 Newcastle
Sunderland 2 - 2 Tottenham
West Brom 0 - 2 Everton
Liverpool 0 - 1 A Villa
Stoke 0 - 1 Leicester
Chelsea 4 - 2 Swansea
C Palace 0 - 0 Burnley
Arsenal 2 - 2 Man City
Graziano Pelle bagged two goals as Southampton recorded a convincing 4-0 win over Newcastle and put more pressure on Alan Pardew as the Magpies sunk to bottom place in the Premier League.
Pelle's first-half double put Saints in charge before Jack Cork made it three after half-time and Morgan Schneiderlin added a fourth to pile the misery on the Magpies.
Manchester United's stellar squad trounced QPR 4-0 to hand Louis van Gaal his first win as manager in the Barclays Premier League.
Angel di Maria, Ander Herrera, Wayne Rooney and Juan Mata all got on the scoresheet as Van Gaal's team of Galacticos hammered Harry Redknapp's side at Old Trafford.
Gabriel Agbonlahor's ninth-minute goal was enough to give Aston Villa a shock 1-0 victory at Liverpool.
Brendan Rodgers rested the in-form Raheem Sterling and handed debuts to Adam Lallana and Lazar Markovic but the Reds struggled to find their usual rhythm at Anfield.
Instead, it was Villa who took a surprise early lead as Liverpool failed to clear a corner and Agbonlahor reacted first to prod the ball across the line.
The hosts pressed and probed in the second half but even Sterling's introduction failed to inspire an equaliser as Philippe Coutinho was denied by the post and Villa held on for an impressive three points.
The victory means Paul Lambert's men climb to second in the table and remain unbeaten in the league this season.
Diego Costa hit a hat-trick as leaders Chelsea came from behind to beat Swansea 4-2 and maintain their 100 per cent start to the season.
Swansea took an early lead when John Terry turned Neil Taylor's cross into his own net but Costa pulled Jose Mourinho's team level on the stroke of half-time.
The striker added two more in the second half to take his tally to seven goals in four matches and substitute Loic Remy found the net on his Chelsea debut to add to the woe for Swansea, who scored a second late on through Jonjo Shelvey.
Martin Demichelis seized a point for champions Manchester City with a late headed equaliser in a 2-2 draw against Arsenal in the day's opening match at the Emirates.
Arsenal were on track for victory after man of the match Jack Wilshere inspired a second-half fightback, firing a wonderful equaliser before teeing up Alexis Sanchez's sublime volley.
But Demichelis rescued a draw from a pulsating match when he nodded Aleksandar Kolarov's corner past Wojciech Szczesny in the 84th minute.
It was a bitter blow to Arsenal, who appeared to have done enough to mark Danny Welbeck's debut with a precious victory over their title rivals.
Harry Kane's own-goal eight minutes from time saw Sunderland salvage a 2-2 draw at home to Tottenham.
Spurs took the lead in the second minute as Emmanuel Adebayor's shot was parried and Nacer Chadli pounced on the rebound but Adam Johnson equalised almost immediately with a curling effort.
Christian Eriksen restored Tottenham's advantage early in the second period but the hosts rescued a point late on when a free-kick diverted off Kane into the net.
Romelu Lukaku scored against his former club as Everton claimed their first three points of the campaign with a comfortable 2-0 victory at West Brom.
Lukaku found the net within two minutes and Kevin Mirallas doubled the advantage midway through the second half.
Leicester also registered their first win of the campaign as a superb second-half goal from Leonardo Ulloa gave Nigel Pearson's side a 1-0 win at Stoke.
Crystal Palace had Julian Speroni to thank for a goalless draw against Burnley as the Eagles goalkeeper kept out a late Scott Arfield penalty.
Palace defender Scott Dann was denied by the woodwork in the first half but it was Arfield who had the best opportunity to win the game, only to see his spot-kick saved.