The Portugal forward grabbed a hat-trick in a 6-1 demolition of Galatasaray on the opening night and needed little persuading to add two more goals to his tally at the Santiago Bernabeu.
He gave the Primera Division club an early lead with a firm header but, after he doubled the advantage from a spellbinding Di Maria cross midway through the second half, his Argentinian team-mate arguably stole the show with a classy brace of his own to settle the tie.
Roberto Mancini, who replaced Fatih Terim as Gala coach on Monday, enjoyed his return to Italy as his new charges dominated the Serie A champions in Turin, opening the scoring through Didier Drogba in the first half.
Juve did find a way back into the tie when Arturo Vidal levelled from the penalty spot 14 minutes from time and substitute Fabio Quagliarella thought he had grabbed all three points when making it 2-1 with time running out.
Bulut powered home a late leveller, though, guaranteeing Galatasaray their first point in the group while ambitious Juventus have only two after leaving Copenhagen on the back of a 1-1 draw on the opening night.
The French giants scored all three goals inside the opening half an hour with Ibrahimovic's double sandwiched in-between young defender Marquinhos' close-range strike.
From then on, the home side seemed to take their foot off the gas, but it hardly mattered as they followed up their opening 4-1 triumph at Olympiacos with another comprehensive win at the Parc des Princes on Tuesday.
There will be bigger tests to come for PSG, but they proved they will be a force both home and abroad this season as they moved to the top of their group.
Mitroglou gave Olympiacos a first-half lead which was preserved by Aleksandar Mitrovic's penalty miss.
And the Greece striker scored twice more after half-time to complete a comfortable 3-0 win which leaves his side second in the group.
The formidable attacking trio of Franck Ribery, Thomas Muller and Arjen Robben all struck as City were completely outplayed, although they also contributed to their own downfall.
Errors from goalkeeper Joe Hart and the defence proved costly but the hosts at least finished strongly as Alvaro Negredo replied and Bayern had former City defender Jerome Boateng sent off.
The result lifted Bayern clear at the top of the group and, even after just two games, probably left City in a battle for second place with their next opponents CSKA Moscow.
The Russians, who lost 3-0 at Bayern Munich in their opening fixture, trailed to Frantisek Rajtoral's fourth-minute strike at the Stadion Petrovskiy in St Petersburg with torrential rain in Moscow having forced them to move the fixture.
But Zoran Tosic's deflected 19th-minute effort, which ended a 398-minute wait for a goal for Leonid Slutski's men in all competitions, paved the way for Honda to fire them ahead 10 minutes later with an exquisitely-placed shot.
Radim Reznik's unfortunate late own goal, for which an horrendous error by keeper Matus Kozacik was to blame, sealed the win, although opposite number Igor Akinfeev had a moment to forget in injury-time when he made a mess of punching clear a cross and Marek Bakos reduced the deficit.
In Group A, Manchester United manager David Moyes was denied a morale-boosting Champions League win in Donetsk - but still left the Donbass Arena as the first manager of an English team to nick a point from a trip to Shakhtar in this competition.
Scorer of United's last away goal in the competition, against Real Madrid, Danny Welbeck was on the mark again, steering home after Yaroslav Rakitskiy had made a hash of clearing Marouane Fellaini's low cross.
It was Welbeck's third goal of the campaign, one more than he managed in the whole of last season, and for a good while afterwards seemed set to prove the difference.
But Shakhtar continued to press and when Taison thrashed home an impressive effort, United needed all their battling qualities to gain the draw their industry deserved.
Hegeler struck in the second minute of stoppage time to secure an eighth successive win for Sami Hyypia's men at the BayArena after the visitors had come within seconds of claiming a first point of their Group A campaign.
Former Arsenal frontman Carlos Vela had earlier fired home from close range after keeper Bernd Leno had saved his 51st-minute penalty, in the process cancelling out Bayer skipper Simon Rolfes' opener in first-half injury time.