Watford 2-3 Everton
Theo Walcott hit a last-minute winner as 10-man Everton came from two goals down to secure a fine 3-2 win at Watford.
Yerry Mina had scored twice in first-half stoppage time to haul the visitors level and - despite losing Fabian Delph to a red card - Walcott delivered the killer blow as the travelling fans celebrated a remarkable victory.
The Hornets appeared on course for another fine result in their battle against the drop as Adam Masina's first goal in over three years and a Roberto Pereyra strike had them two goals ahead.
But, having crumbled when falling behind in recent weeks, the Toffees instead rallied at Vicarage Road as Mina struck twice in quick succession.
Carlo Ancelotti's side looked to be hanging on for a point but broke clear in the closing stages as Watford over-committed, and Richarlison's pass was scuffed into the path of Walcott by Moise Kean, with the former Arsenal man making no mistake with the close-range finish.
West Ham 3-3 Brighton
West Ham's nemesis Glenn Murray scored a controversial late equaliser as Brighton snatched a 3-3 draw at the London Stadium.
The veteran striker, starting a Premier League match for the first time since September, grabbed his seventh career goal against the Hammers in the 79th minute.
The ball appeared to hit Murray's arm before he fired home but a VAR check decided otherwise, to disbelief in the stands when the replay was shown.
It completed a remarkable comeback for Graham Potter's side, who were 3-1 down thanks to an Issa Diop effort and a double from Robert Snodgrass.
West Ham defender Angelo Ogbonna had already scored an own goal before Pascal Gross pounced on some woeful defending to halve the deficit and Murray found the net to secure a share of the spoils.
A draw meant West Ham slipped into the relegation zone, and with trips to Manchester City and Liverpool next up, it might be a while before they climb back out.
Bournemouth 2-1 Aston Villa
Ten-man Bournemouth climbed out of the Premier League relegation zone with a nervy 2-1 win over fellow strugglers Aston Villa.
The Cherries made it back-to-back league wins thanks to first-half goals from Philip Billing and Nathan Ake, though they were hanging on in the end after Jefferson Lerma's red card.
Lerma walked early in the second half for two bookings and Villa made a game of it as Mbwana Samatta scored on his Premier League debut - becoming the first Tanzanian to do so in this division.
But Eddie Howe's men leapfrogged their visitors in the table after seeing it out, claiming just their second win since mid-December.
Villa, who were on a high after reaching the Carabao Cup final in midweek, had chances to earn a point, but the result left them sitting perilously above the bottom three.
Crystal Palace 0-1 Sheffield United
Sheffield United temporarily moved up to fifth in the Premier League after more success in the capital, this time a 1-0 win at Crystal Palace.
Chris Wilder's side, who have already taken points from trips to Chelsea, West Ham, Tottenham and Arsenal this season, were indebted to a mistake from home goalkeeper Vicente Guaita for the only goal of the game.
The Spaniard spilled Oliver Norwood's corner over the line for an own-goal and it consigned Roy Hodgson's team to back-to-back defeats at Selhurst Park.
Newcastle 0-0 Norwich
Teemu Pukki passed up the chance to fire bottom-of-the-table Norwich to a priceless Premier League win at Newcastle as two points went begging.
The Canaries enjoyed the better of a tense encounter played out in front of a crowd of 52,204 at St James' Park and would have headed back to Norfolk with three points added to their tally had the Finland international, who scored a hat-trick in the reverse fixture, taken one of a series of openings which came his way.
In the event, poor finishing and the heroics of Magpies keeper Martin Dubravka, who made key saves from Sam Byram and Pukki, ensured the game finished 0-0 with Steve Bruce's men grateful for a point on a day when they scarcely deserved it.
