Goals from Yaya Sanogo and Alexis Sanchez ensured Arsenal a spot into the last 16 of Europe's elite league.
Crystal Palace heaped more misery on Liverpool at Selhurst Park when they came from behind.
An enthralling and high-octane Liverpool side were spurred on by a vociferous support last season.
The victory came after Liverpool went ahead after nine minutes through Emre Can.
A 2-0 defeat in the fixture last season inflicted a massive blow to their bid to win the English league title.
Karim Benzema secured a 1-0 win for Real Madrid against a toothless Liverpool.