With leaders Liverpool not in action until Sunday, it was a chance for the chasing pack to press their credentials for top-four spots.
Chelsea’s Marcus Alonso broke the deadlock for Frank Lampard’s side at Stamford Bridge against Newcastle for a 1-0 win while Youri Tielemans sealed a 2-1 victory for Leicester at the King Power Stadium.
But Spurs boss Mauricio Pochettino saw his side labour to a 1-1 draw at home to Watford, following a 3-0 thrashing at Brighton and a humiliating 7-2 defeat at home to Bayern Munich.
Spurs, who reached the Champions League final in June, have now won just three of their opening 12 games in all competitions and appear unable to halt their slide.
Tottenham got off to an awful start as they fell behind in the sixth minute, Abdoulaye Doucoure finishing superbly from Daryl Janmaat’s assist.
Dele Alli grabbed a late leveller for Spurs with his first goal since January. There was major confusion as it appeared as if VAR had ruled out the effort, but it was allowed to stand.
Leicester held a minute’s silence before kick-off to remember their late owner Vichai Srivaddhanaprabha, who was killed in a helicopter crash at the stadium last October.
Chris Wood put Burnley in front but Leicester’s in-form forward Jamie Vardy headed an equaliser just before half-time and Tielemans completed the turnaround with just over 15 minutes to go.
Ahead of City’s match at Crystal Palace later on Saturday, Leicester were second in the Premier League table, seven points behind leaders Liverpool, while Chelsea, also on 17 points, were third.
Matt Targett scored a goal deep into injury time as Aston Villa came back from 1-0 down to beat Brighton 2-1.
Southampton took the lead against Wolves at Molineux, courtesy of a Danny Ings goal but Raul Jimenez hit back from the penalty spot just eight minutes later after Matt Doherty was brought down.
Bournemouth drew 0-0 at home to Norwich.
– Everton relieve pressure –
In the early kick-off on Saturday, Everton climbed out of the Premier League relegation zone with a well-deserved 2-0 victory against West Ham that eased the pressure on Marco Silva.
A first-half goal from Brazil forward Bernard and a late second from substitute Gylfi Sigurdsson gave Everton the three points in a match in which they had 19 shots.
“It was a fantastic performance,” Sigurdsson told BT Sport. “We had a lot of chances, especially in the second half. You never know when it’s 1-0 — you always want to get more.
“They are dangerous going forward and their goalkeeper made some spectacular saves. I was pleased to come on and give us a bit of comfort. There was a real purpose to our game today.”
Manchester City head to Crystal Palace in the late match on Saturday. Pep Guardiola left Sergio Aguero and Riyad Mahrez out of his starting line-up but there was a place on the bench for defender John Stones after an injury lay-off.
Liverpool travel to face struggling Manchester United at Old Trafford on Sunday, chasing a record-equalling 18th consecutive Premier League win while Arsenal face Sheffield United on Monday.