Aston Villa and QPR picked up victories on a crucial day for the sides near the bottom of the Barclays Premier League table.
Paul Lambert's Villa had looked to be heading deeper into the relegation mire when Nathan Baker put an attempted clearance into his own net against Reading.
But Christian Benteke and Gabriel Agbonlahor hit back as the visitors dominated the latter stages of the first half to go 2-1 up.
Noel Hunt thought he had equalised for the Royals after the break but his effort was ruled out for offside as Villa climbed out of the bottom three.
Basement side QPR also came from behind to secure a 3-1 win over Sunderland.
13 Norwich 33
14 Sunderland 30
15 Newcastle 30
16 Southampton 28
17 A Villa 27
18 Wigan 24
19 Reading 23
20 QPR 23
Steven Fletcher's tap-in had put the Black Cats a goal to the good at Loftus Road, but Loic Remy levelled with an excellent low finish before Andros Townsend and Jermaine Jenas sealed the win.
Norwich should also have picked up a valuable win but Grant Holt's failure to convert a late penalty against Southampton meant it finished goalless at Carrow Road.
In the day's other game West Brom climbed to seventh in the table by beating Swansea 2-1 at The Hawthorns.
Luke Moore had put the Swans ahead against his former club, but Romelu Lukaku and a Jonathan de Guzman own goal gave the Baggies the three points.
Hat-trick hero Carlos Tevez put his off-field problems to one side to send Manchester City motoring into the FA Cup semi-finals with a 5-0 victory over Championship side Barnsley.
Tevez could face up to six months in prison after he was arrested on Thursday night on suspicion of driving whilst disqualified.
The Argentina striker is due back at Macclesfield police station on Tuesday, but showed no sign of anxiety at the Etihad as he turned in an impressive man-of-the-match performance, scoring three and also claiming two assists as City swatted Barnsley away with the minimum of fuss.
Aleksandar Kolarov and David Silva also scored with the Blues still in with a shot at becoming only the fourth side - and first since Bury in 1903 - to lift the trophy without conceding a goal.
Wigan made history by reaching an FA Cup semi-final for the first time after three goals in a devastating four-minute spell saw them beat an abject Everton 3-0 at Goodison Park.
Maynor Figueroa, Callum McManaman and Jordi Gomez scored within just 202 seconds of each other in the first half to demolish last year's semi-finalists hope of a return to Wembley.
Strangely for Everton they failed to produce anything like the expected response and exited the cup with a whimper - much to the disgust of an angry home crowd.
While Roberto Martinez plots Wigan's survival - and now and FA Cup semi-final - there are also plenty of questions for Toffees boss David Moyes, who will mark his 11th anniversary at the club still not having won silverware.
With his contract up at the end of the season and a top-four finish by no means guaranteed, the Scot has a significant personal decision to make.