The round of 16 games saw Portugal, Wales and Poland qualify through to the quater-finals of the Euro 2016.
Ricardo Quaresma's header after skipper Ronaldo's shot was deflected with extra time running out, which saw Portugal defeat Croatia 1-0 to set up a last eight clash against Poland.
Bayern Munich star Lewandowski failed to score but Poland beat Switzerland 5-4 in a penalty shootout after they were deadlocked 1-1 at 120 minutes.
Wales's Bale hit the 75th-minute pinpoint cross that Northern Ireland's Gareth McAuley turned into his own net in the only goal of their game on 25 June. Wales will now play the winner of Sunday's game between Hungary and Belgium.
Bale, the tournament's joint leading scorer with Alvaro Morata of Spain on three goals, was brutally honest after the Parc des Princes game in Paris. "It does not matter how you win," he said.
Northern Ireland closed down Bale for so long. But Wales have reached the last eight of a major tournament for the first time since the 1958 World Cup.
"What can I say? We knew it was going to be an ugly match," Bale said. "Northern Ireland made it difficult to play. There was not much space up front. You can't ask for any more. It's incredible," he added.