The kick-off was delayed at the Stadium of Light by 20 minutes by a burst pipe in the visitors' dressing room.
This was United’s fourth successive draw on their travels. The nearest they came to breaking the deadlock was Dimitar Berbatov’s effort which was correctly ruled offside.
Sunderland had the best opportunities, with Bolo Zenden striking the post and Steed Malbranque also going close.
Slackness in defence allowed Marc Albrighton to open the scoring for Villa in the 16th minute. But on the stroke of half-time the first of Rafael van der Vaart’s brace restored parity for Spurs.
After the break Peter Crouch was the provider again for the Dutchman to score the winner.
Everton claimed their first win of the season and ended Birmingham's 18-game unbeaten home Premier League record with a 2-0 win at St Andrews.
A Roger Johnson own goal set the Toffees on their way just after half-time and Tim Cahill sealed the win in the 90th minute.
Wigan claimed their first home win of the campaign against 10-man Wolves, 2-0, and climbed out of the relegation zone.
Mick McCarthy's side saw their numbers reduced early on when a late challenge from Karl Henry sent Jordi Gomez cartwheeling into the air.
Ten man Wolves battled away until the 65th minute when Gomez scored from a free kick and the game was made safe late-on by Hugo Rodallega.
Stoke continued their run of form with a narrow 1-0 home win over Blackburn Rovers.
Jon Walters scored the only goal of the game just after the break against the club where he started his career.
In the end both teams had to settle for a point in a 1-1 draw.
Dempsey opened the scoring for the visitor’s but Frederic Piquionne headed home a second half leveller.
A late West Brom goal gave them a share of the spoils in a 1-1 home draw with Bolton.
Johan Elmander had earlier scored his fourth goal of the season for the Wanderers but James Morrison rescued a point 12 minutes from time following Peter Odemwingie's great cross.