Bafetimbi Gomis and Andre Ayew both scored for the second game running as Swansea comfortably saw off 10-man Newcastle 2-0 at the Liberty Stadium.
Gomis opened the scoring in the ninth minute with a composed finish before Ayew, who was also on target in the opening-day 2-2 draw at Chelsea, scored with a powerful second-half header after Newcastle full-back Daryl Janmaat had been sent off for a second bookable offence by referee Mike Jones.
Janmaat was booked after clattering into Jefferson Montero twice and the Dutchman's luck ran out in the 41st-minute when he pulled the Ecuadorian back to stop him launching a Swansea attack from deep.
The defender's departure left Newcastle with a mountain to climb and Steve McClaren's decision to withdraw Moussa Sissoko - the Magpies' best player in the first half - and Papiss Cisse revealed a preference for damage limitation rather than offering any real hope of getting back into this Premier League contest.
Claudio Ranieri's perfect start to life as Leicester boss continued as his side outshone 10-man West Ham to win at Upton Park for the first time in 15 years.
Both sides started the new season with opening weekend victories but it was the Foxes who extended that run to top the early Barclays Premier League table on Saturday evening, as first-half goals from Shinji Okazaki and Riyad Mahrez were enough for a 2-1 win.
Slaven Bilic had seen his side impress in winning at Arsenal but tasted his first league defeat as manager of the Hammers, who reduced the deficit through Dimitri Payet's first goal for the club only to have goalkeeper Adrian sent off in the closing stages.
The hosts started positively enough and could have been ahead inside the opening two minutes as 16-year-old Reece Oxford, again trusted by Bilic to sit in front of his back four following an impressive outing at Arsenal, headed Dimitri Payet's deep free-kick on to the top of Kasper Schmeichel's crossbar.
Neither side fashioned another chance of note until past the midway point of the first half, with Mahrez, the star of last weekend's victory over Sunderland, forcing Adrian into his first meaningful action of the game as he easily danced past three defenders only to be met by the sprawling Spaniard.
However, Leicester were ahead just moments later as Jamie Vardy's cross evaded home defender Angelo Ogbonna and was met by Okazaki. His initial volley was acrobatically saved by Adrian but the Japan forward was on hand to head home the rebound and net his first goal for the club.
Vardy, who hit the headlines for all the wrong reasons earlier this week and was fined by the club after being filmed allegedly racially abusing a casino punter, was also pulling the strings and again linked up well with Okazaki to create the second.
Norwich play-maker Wes Hoolahan turned in a master class as Sunderland head coach Dick Advocaat witnessed another horror show.
The Republic of Ireland international was the architect of a 3-1 victory at the Stadium of Light, his side's first on Wearside since 1997 against the opposition which had presented the Canaries with their last Barclays Premier League victory.
First-half goals from defenders Russell Martin and Steven Whittaker and a third after the break from Nathan Redmond left the home fans among a crowd of 41,379 singing: "Are you watching, Ellis Short?"
The Black Cats are desperately short of the quality they need to avoid yet another relegation scrap.
It was Hoolahan's invention - he played key roles in the second and third goals - which repeatedly tore the home side apart and helped to pave the way for Norwich's first win of the new season despite substitute Duncan Watmore's late consolation strike.
Advocaat shelved his retirement plans to accept the job of head coach after initially turning down chairman Short's offer of an extended stay, and he could have been forgiven for regretting his decision by the time the break arrived.
Having seen his team capitulate horribly in the first-half at Leicester last weekend, he looked on as they shouldered arms once again as a lack of cutting edge going forward and an inability to defend once again cost them dearly. Watmore produced an exciting late cameo, which included an 88th-minute goal on his Premier League debut, to give the home fans something to shout about, but it was all too little, too late.
West Brom registered their first point of the season after frustrating Watford in a goalless stalemate at Vicarage Road.
Tony Pulis' side put their 3-0 opening defeat by Manchester City behind them with a typically belligerent display against the newly-promoted Hornets.
They very nearly nicked all three points towards the end but Saido Berahino, still being linked with a move away before the end of the month, fluffed his lines in front of goal.