Everton
Everton savour first win at Liverpool since 1999, Chelsea held
Richarlison's early opener and Gylfi Sigurdsson's late penalty gave the Toffees a first win on any ground over Liverpool in 24 attempts dating back to 2010.
Riyad Mahrez scored the pick of the goals in between Phil Foden and Bernardo Silva's strikes as City extended their English top-flight record winning run to 17 games.
Spurs have lost four of their last five games and one of three chances to end the club's 13-year wait to win a trophy in cup competitions is now gone.
Jurgen Klopp's side paid the price for a sloppy display as Steven Alzate's second half strike gave struggling Brighton a memorable success at the expense of the injury-hit champions.
The shock result at Old Trafford leaves Pep Guardiola's Manchester City a point clear at the top with a game in hand and looking increasingly hot favourites to win a third title in four years.
Fernandes struck with 12 minutes left at Old Trafford to cap a thrilling clash that left Liverpool searching for answers after another painful defeat.
After unexpectedly gate-crashing the title race with nine wins during an 11-match unbeaten run, Manchester United head to Anfield knowing they have a golden opportunity to open up a potentially priceless six-point lead over Jurgen Klopp's men.
Ole Gunnar Solskjaer's men now lead defending champions Liverpool by three points ahead of a top-of-the-table clash between the two most successful sides in English football history at Anfield on Sunday.
City announced on Christmas Day there had been four positive tests at the club for players Kyle Walker and Gabriel Jesus and two staff members.
Manchester United will face bitter rivals Manchester City in the League Cup semi-finals after a dramatic 2-0 win at Everton, while Tottenham joined them in the last four with victory against Stoke on Wednesday.
Ancelotti has turned Everton's fortunes round in the year he has been in charge, to the extent that they sit fourth in the Premier League, five points off leaders and local rivals Liverpool.
The champions were without the injured Virgil van Dijk, Joe Gomez, Trent Alexander-Arnold, Jordan Henderson, Thiago Alcantara, Xherdan Shaqiri and Alex Oxlade-Chamberlain, while top scorer Mohamed Salah was absent due to a positive coronavirus test.
Man United eased the pressure on their under-fire manager with a 3-1 win in the early kick-off at Goodison Park but the Norwegian vented his fury at league chiefs after picking up fresh injuries.
Everton had gone eight games without defeat in all competitions this term, but they paid the price for a lethargic display at St Mary's.
Everton have not beaten Liverpool since 2010 and finished 50 points behind Jurgen Klopp's men last term.
Pep Guardiola admitted it was vital to keep a clean-sheet as League Cup holders Manchester City got back on track with a 3-0 win against Burnley, while Manchester United joined their rivals in the quarterfinals after beating Brighton 3-0 on Wednesday.
Arsenal, Everton and Leicester hope to build on encouraging opening wins while Jose Mourinho needs a morale-boosting victory for Tottenham.
On their first appearance in the top-flight for 16 years, Leeds were unlucky not to hold Liverpool to a thrilling draw at Anfield on Saturday, but Marcelo Bielsa's decision to make 11 changes backfired as his side were far less clinical against a team two divisions below them.
Ancelotti has been heavily backed with the signings of James Rodriguez, Abdoulaye Doucoure and Allan, and the Toffees looked a much-improved side on the one that finished 12th last season as they were thoroughly deserving winners at the Tottenham Hotspur Stadium.