Manchester United moved into second place in the Premier League after second-half goals from Anthony Martial and Jesse Lingard gave them victory over Everton.
Martial curled the ball into the net from the edge of the area to break the deadlock before Lingard also bent a shot beyond Jordan Pickford from distance.
Juan Mata hit a post for United while Oumar Niasse spurned Everton’s best chances.
The win ends United’s run of three straight draws, while Everton, now without a win in four, stay ninth.
United looked to be close to their best in the second half, with Paul Pogba providing the assists for both goals.
Lingard’s stunning strike was his seventh in the league this season, all scored in nine appearances since 28 November.
Elsewhere on the New Year Day clashes, Ragnar Klavan scored in injury time to give Liverpool a dramatic Premier League victory over Burnley and extend their unbeaten run to 16 matches.
The hosts looked to have earned a point when Johann Gudmundsson equalised with just three minutes of normal time remaining.
But Klavan headed home from almost on the goalline as the Reds snatched all three points.
Sadio Mane had given Liverpool the lead earlier in the second half with a superb shot from the edge of the area.
Burnley goalkeeper Nick Pope made several good saves to keep his side in the match, while opposite number Simon Mignolet denied Sam Vokes just before Gudmundsson’s equaliser.
In the Leicester City clash with Huddersfield, Riyad Mahrez scored one and made one to ensure Leicester broke a run of five games without a win with a deserved victory.
The Algerian expertly guided home a side-foot volley from Marc Albrighton’s up-and-under into the box to open the scoring after a dull first half.
Seven minutes later he set up Islam Slimani with a precise though-ball and his countryman dinked a cool finish over Jonas Lossl.
Huddersfield rarely threatened, with wayward shots from Tom Ince and Collin Quaner the closest they came to a reply.
Instead the late stages were notable for Leicester midfielder Adrien Silva making his debut off the bench – four months after late submission of paperwork for his move from Sporting Lisbon left him unable to play – and Albrighton’s injury-time third from Demarai Gray’s deflected cross.