Werder Bremen goalscorer Naldo is congratulated by Christian Schulz
Werder Bremen secured their first victory of the campaign, beating the still pointless Levski Sofia 2-0.
Ronaldo Naldo scored the opener and Ribas Diego added the second.
Chelsea maintained their 100% record with a 1-0 win over familiar foes Barcelona, thanks to a superb strike from Ivory Coast forward Didier Drogba.
Drogba and Michael Essien missed great chances to add another for the Blues, who dominated and made Ronaldinho, in particular, look ordinary.
Julio Cruz scored two goals for Inter Milan as they recorded a much-needed 2-1 victory over Spartak Moscow.
Spartak's Roman Pavluchenko pulled one back but Inter held on to earn their first points of the campaign.
Leaders Bayern Munich kept their 100% record with a 1-0 win away at Portugal's Sporting Lisbon.
Bastian Schweinsteiger scored the goal which leaves the German needing only a point to qualify, but the midfielder was later sent off.
Liverpool's Peter Crouch scored the only goal of the game in the 58th minute to give his side an important away win at Bordeaux.
Crouch headed in his third goal in the competition so far and put Liverpool top of the group on goal difference.
In Turkey, PSV came from behind to defeat Galatasaray 2-1 and keep up the pressure on Liverpool.
Sasa Ilic put the home side ahead before Jan Kromkamp equalised and Arouna Kone scored the winner for PSV.
Valencia's David Villa is mobbed by his team-mates after scoring against Shakhtar
Spain international David Villa scored twice in the first half to ensure Valencia continued their perfect start with a 2-0 win over Shakhtar Donetsk.
Shakhtar defender Viacheslav Sviderskiy was sent off after a second caution on 76 minutes and will miss Valencia's visit to Donetsk in two weeks' time.
Roma's Simone Perrotta struck late in the game to give his side a fortunate 1-0 win over Olympiakos.
The win gives Roma six points and leaves them clear in second place.