Here, football.co.uk analyses five of the most interesting.
CAN HULL BUILD ON THEIR DEFEAT OF LEICESTER?
Managerless Hull may be a club in turmoil but they began the season impressively with their 2-1 defeat of defending champions Leicester
There was much to admire about the resilience and desire demonstrated by their thin squad
Regardless, they will rightly remain many observers' favourites for relegation, but if they can win again - this time at Swansea - they will be far more appealing to any potential manager, new player, or owner
Caretaker manager Mike Phelan may even earn the job full-time if he can lead them to the maximum six points so far available from the 40-plus they will try to achieve.
WHICH TITLE CHALLENGER'S SEASON WILL BEGIN WITH TWO LOSSES FROM TWO?
The high-risk, attacking style of play favoured by both Arsenal and Leicester makes a draw between them at the King Power Stadium on Saturday seem unlikely
Arsenal's 4-3 defeat by Liverpool on Sunday, a day after Leicester's 2-1 loss at Hull, means both will also be desperate to win
Another defeat for Arsenal would intensify the pressure manager Arsene Wenger is already facing
Patience in Leicester's Claudio Ranieri is greater, but if another loss follows last week's and that in the Community Shield by Manchester United, there will be even more convinced last season's title win was a one-off
IS ANTONIO CONTE'S CHELSEA REVOLUTION TRULY UNDER WAY?
In Monday's 2-1 win over an under-strength West Ham, Chelsea appeared an improving, committed team ready to move on from the underachievement of the past season
Yet the reality is Diego Costa was fortunate to still be on the pitch when he scored their late winning goal
Monday's win could easily have been a disappointing draw, but its dramatic nature could further galvanise Conte's squad
Saturday's fixture at Watford could reveal much.
WILL THE TRIP TO TOTTENHAM LEAVE CRYSTAL PALACE'S ALAN PARDEW UNDER PRESSURE?
Boos could be heard among the Crystal Palace supporters at the final whistle of last week's 1-0 defeat by West Brom
Many who will not have forgotten their appalling league form throughout 2016 would have been concerned at their flat performance
Since then, Yannick Bolasie and Mile Jedinak, two players they were very fond of, have been sold
The long-serving Julian Speroni has also been marginalised
Should Palace not improve in a difficult-looking fixture at Tottenham, their patience in Pardew could be tested.
HOW WILL PEP GUARDIOLA'S NEW-LOOK MANCHESTER CITY FARE AGAINST HIS FORMER PLAYERS AT STOKE?
In Marc Muniesa, Bojan Krkic, Ibrahim Afellay and Xherdan Shaqiri, Stoke possess four players previously managed by Manchester City's Pep Guardiola
Bojan was sold by Barca while Guardiola was manager, as Shaqiri also was by Bayern Munich, and both are capable match-winners
Is it possible that between them, the four possess sufficient knowledge of the Spaniard to help Mark Hughes inspire an unlikely victory?
Source : PA
Source: PA