Harry Kane claimed with a hat-trick of penalties in a four-goal haul as Bayern Munich demolished Dinamo Zagreb 9-2.
The England captain equalled Wayne Rooney's record of 30 goals in the competition - the most by an English player - when he converted a 19th-minute spot-kick, and then went past him with a 57th-minute finish before extending his record.
In the meantime, Raphael Guerreiro and Michael Olise looked to have put the hosts in complete charge by half-time at the Allianz Arena, but Bruno Petkovic and Takuya Ogiwara dragged Dinamo right back into it at 3-2.
However, Kane and Olise each struck for a second time within three minutes of each other and then the former Tottenham frontman completed his quadruple with two more penalties before substitutes Leroy Sane and Leon Goretzka completed the rout.
Reigning champions Real Madrid needed late goals from Antonio Rudiger and substitute Endrick to finally break Stuttgart's stubborn resistance.
After a goalless first half, Kylian Mbappe had put the home side ahead but Deniz Undav's equaliser kept the Germans in it until seven minutes from time - when Rudiger and then Endrick intervened to seal a 3-1 win.
Kenan Yildiz, Weston McKennie and Nicolas Gonzalez were on target as Juventus powered their way to a 3-1 home victory over PSV Eindhoven.
Yildiz and McKennie had the hosts 2-0 up by the break and when Gonzalez struck seven minutes into the second half, the points were safe despite substitute Ismael Saibari's stoppage-time effort for the Dutch champions.
Lille slipped to a 2-0 defeat at Sporting Lisbon courtesy of goals from Viktor Gyokeres and Zeno Debast.