Reigning champions Liverpool are only behind them on goal difference, though, having made light of their injury crisis to sweep former leaders Leicester City aside on a record-breaking evening at Anfield.
Burnley finally claimed their first win of the season by beating Crystal Palace on Monday night, while Everton, West Ham United and Brighton & Hove Albion were the other teams to come away with victory.
Here, Sports Mole selects its Premier League team of the week for gameweek nine.
Southampton's Alex McCarthy is the man to get the nod for us, despite the Saints only managing a draw against Wolverhampton Wanderers in the final match of the gameweek. McCarthy could not do anything about Wolves' goal and made eight saves - including a couple of very important ones in the first half - to ensure that his side came away with something.
Considering Liverpool were without three of their first-choice back four, you would have got long odds on them providing three defenders in this team, but the manner in which they kept a dangerous Leicester attack quiet suggested that they might be able to cope with the long-term losses of Virgil van Dijk and Joe Gomez.
Fabinho once again excelled at centre-back, while James Milner was dependable as ever defensively when called upon to fill in at right-back.
Milner and Andrew Robertson both also had big impacts at the other end of the field, between them assisting all three goals and creating plenty more chances in a dominant display. Lucas Digne was also in very close contention at left-back.
Antonio Rudiger deserves an honourable mention, but Tottenham's Eric Dier completes our back four having made more blocks and the second-most clearances of any player in the entire league over the weekend to help keep Man City at bay.
Declan Rice and Abdoulaye Doucoure are chosen as our holding midfielders in a slightly unorthodox 4-3-3 formation, with Rice having largely run the show against Sheffield United and Doucoure scoring what proved to be the winning goal against Fulham.
Bruno Fernandes was also in contention for a midfield spot having once again proved to be Manchester United's penalty saviour, but he is pipped to a place by Diogo Jota, whose stunning start to life as a Liverpool player continued as he became the first person in the club's history to score in each of his first four home league games.
Of those, Dominic Calvert-Lewin was arguably the first name on the teamsheet courtesy of another two goals to stretch his brilliant start to the season.
For a long time it looked as though Sunday would not be Roberto Firmino's day as he hit the woodwork twice and somehow failed to score before finally notching with a firm header to secure all three points for his side.
Harry Kane was also impossible to leave out after another all-action display against Man City, popping up in all areas of the pitch and capping off another superb performance with his ninth assist of the season already.