Atletico Madrid survived a pulsating Tottenham fightback to make it Spain 3, England 0 in round-of-16 clashes this week.
Bayern Munich had it easiest of all, pushing aside Atalanta 4-1 on Wednesday and 10-2 on aggregate.
Another Champions League goals rush was sparked by Barcelona tearing apart Newcastle in the second half of a 7-2 win after the teams went toe-to-toe before the break.
Tied 1-1 after the first leg in Newcastle, Barcelona surged to a victory after Lamine Yamal's momentum-shifting penalty kick in first-half stoppage time made the score 3-2.
Robert Lewandowski then scored twice, Fermín López finished a slick move and Raphinha got his second goal as Newcastle's defence collapsed.
Liverpool ultimately eased to a 4-0 win over Galatasaray at Anfield, overturning a one-goal loss in Istanbul, despite Mohamed Salah missing a penalty in first-half stoppage time when the score was 1-0.
Still, Salah was key to Liverpool's strong second half with two assists then a goal in a performance that could restart an erratic season for the English champions and ease growing pressure on coach Arne Slot.
Tottenham showed real character after an embarrassing 5-2 loss in Madrid last week but were resisted by Atletico twice leveling the score in the second leg. Xavi Simon's late penalty at least gave Tottenham a 3-2 win on the night.
Tottenham and Newcastle joined Manchester City, ousted by Real Madrid on Tuesday 5-1 on aggregate score, as Premier League teams eliminated by La Liga's best.
England had a record six teams in the competition and all reached the round of 16, but only Arsenal and Liverpool advanced. Chelsea were eliminated on Tuesday by defending champions Paris Saint-Germain.
In Munich, fit-again Bayern talisman Harry Kane scored twice against Atalanta to end Italy's challenge in this Champions League edition.
Both Kane and Liverpool's Salah scored their 50th Champions League goals on the night.
In the quarter-finals, Real Madrid will play Bayern Munich, a clash of 15-time and six-time European champions.
Liverpool face PSG, a rematch of their thrilling round-of-16 games last season.
Barcelona and Atletico Madrid meet again twice just weeks after they played a two-leg domestic cup semi-final. Then Atletico won 4-3 on aggregate.
And Arsenal, the last unbeaten team in the competition, will face Sporting Lisbon.