Michael Owen scored his first goal for Newcastle on Sunday, helping the Magpies to a 3-0 Premier League victory over Blackburn.
Owen's 68th-minute header came five minutes after Alan Shearer had opened the scoring with a free kick.
Newcastle defender Steven Taylor was sent off in the 72nd for a second yellow card.
Newcastle's first win of the season was assured when Charles N'Zogbia added a third goal with five minutes remaining.
"I have no doubt in my mind that I will score goals and I hope there are more important ones to come, but the relief for me is getting the first three points because we badly needed them and hopefully we can go on a run now," Owen said.
Also Sunday, Liverpool kept its fourth straight league clean sheet on Sunday, playing a 0-0 draw with Manchester United. Wigan drew 1-1 with Middlesbrough and Bolton won 1-0 at Manchester City. On Monday, Arsenal hosts Everton.
Owen joined Newcastle on Aug. 31 on a four-year deal. Sunday was Newcastle's first win in five league games.
At Anfield, the match had plenty of passion but few chances on target.
It was the first 0-0 draw between Manchester United and Liverpool since 1991.
"It was maybe the intensity of the game, I don't know, but you could see 0-0 written all over it from early on," Manchester United manager Alex Ferguson said.
"I thought we had enough of the ball to win it. We just lacked a cutting edge."
Liverpool has only scored one league goal this season, with Benitez preferring a more defensively minded style.
"If we can carry on playing at the same level, it will mean we have moved a step higher than we were last season but we will need to see how we go against Chelsea and Arsenal before we can judge," Benitez said.
United captain Roy Keane broke a bone in his left foot in a late challenge from Luis Garcia and will be sidelined for up to two months.
Bolton won with an injury-time penalty from Gary Speed, earned when Richard Dunne handled Henrik Pedersen's chip into the area.
City dominated the match but Bolton 'keeper Jussi Jaaskelainen stopped two shots from Antoine Sibierski, Kiki Musampa hit the post twice and Sun Jihai hit the crossbar.
Henri Camara came off the bench to earn to Wigan a point against Middlesbrough. His 68th-minute equalizer canceled out Aiyegbeni Yakubu's 14th-minute strike.
In the Football League Championship, Norwich beat Ipswich 1-0 and Derby drew 2-2 with Southampton. Sheffield United lead the standings with 24 points, followed by Reading with 20 and Watford and Luton with 17.
Stilian Petrov's fifth-minute goal gave Celtic a 1-0 win over Hibernian in the Scottish Premier League.
Petrov took a pass from Shunsuke Nakamura to shoot by Hibernian goalkeeper Zbigniew Malkowski.
Celtic has 16 points, five points behind surprise leader Hearts after seven matches. Rangers is third with 13 points.
"Hibs played excellent and it would be very unfair to say we deserved to win," Celtic manager Gordon Strachan said. "As I've been saying all along, the Scottish league is decent, there are good players and teams in the league, and this is a hard place to come to and win."
Fernando Torres and Mateja Kezman scored a goal each to give Atletico Madrid a 2-1 win over defending champion FC Barcelona.
Barcelona took the lead in the sixth minute when Cameroon striker Samuel Eto'o tapped in after a mix-up in Atletico's defense.