Bayern took Werder Bremen apart in a commanding performance in Bremen's Weser Stadium with new signings Franck Ribery, Luca Toni and Hamit Altintop all on target in a 4-0 win.
Bayern, who defeated Hansa Rostock 3-0 away last week, are the only team so far on maximum six points, but they could be joined by SV Hamburg if the northern Germans beat Bayer Leverkusen on Sunday.
Schalke 04 meanwhile downed arch-rivals Borussia Dortmund 4-1, while three second-half goals gave Hertha Berlin a 3-1 victory over champions Stuttgart.
Bayern underscored their role as Bundesliga title favourites with a commanding show, their French midfielder Ribery again in outstanding form in the highest home defeat for Werder in 10 years.
Ottmar Hitzfeld's side took the lead in the 31st minute when Toni was brought down in the area by Petri Pasanen, and Ribery converted the penalty with a cheeky chip over the diving Tim Wiese in goal.
Toni notched the second with a cool finish six minutes after the break for the Italian striker's second goal of the season.
Ribery then showed his class by scooping the ball over Bremen's Christian Schultz in his own half to set up a 79th-minute counter attack involving Toni and finally Altintop who coolly finished, before sub Andreas Ottl belted in a fourth two minutes from time.
"It's a joy to watch Ribery play. The third goal was an absolutely world class piece of play from him," said goalkeeper Oliver Kahn.
Hitzfeld said: "Bremen put pressure on us in the first 30 minutes but we were well organised defensively and in the second half we were able to punish them on the counter-attack.
"We have to keep our feet on the ground. It's a long season and a lot can happen with injuries and form. There are still a lot of question marks."
Toni's strike partner Miroslav Klose, returning to Bremen for the first time since his transfer in the summer, was presented with a bouquet and a framed picture before the match as part of his official farewell from the club.
Bremen fans jeered during the centre-circle presentation by Bremen sports director Klaus Allofs, and Klose was also given a rude reception by his former teammate Naldo who was booked in the third minute for a scything tackle on the striker.
Klose needed treatment on the touchline, struggled for the rest of the half and was replaced at half-time by Altintop.
The Turkish midfielder was immediately involved, setting up Bayern's second goal with a run from defence as Bayern caught Bremen with a quick counter-attack. His pass found Toni who controlled the ball before stroking it left-foot past Wiese in goal.
Schalke 04 got the better of arch-rivals Borussia Dortmund in a comfortable 4-1 victory in the Ruhr derby in Gelsenkirchen.
Christian Pander, who was Friday called up for the first time for the Germany squad, was involved in the first two goals.
His free-kick in the 11th minute was headed in by an unmarked Marcelo Bordon, and the 23-year-old defender curled in the second himself with a direct free-kick over the wall 20 minutes later.
Gerald Asamoah made it three when he headed in unmarked in the 59th before Paraguayan Nelson Valdez headed one back for Dortmund seven minutes later. Kevin Kuranyi made absolutely sure with a header for Schalke's fourth 12 minutes from time.
Champions Stuttgart, held to a 2-2 draw by Schalke in the first match of the season, slipped to a 3-1 defeat at Hertha Berlin.
Thomas Hitzlsperger hit a trademark long-shot goal in the 15th minute to put the visitors ahead but Hertha levelled with a Sofian Chahed penalty six minutes into the second half, Malik Fathi headed home from a corner in the 65th and Solomon Okoronkwo was on target nine minutes from the end.
Arminia Bielefeld were pegged 2-2 at Eintracht Frankfurt who scored two goals in the last three minutes, Marcelino, Alexander Madlung and Sergiu Radu were on target as Wolfsburg enjoyed a 3-1 win at MSV Duisburg, while Nuremberg edged a 2-1 win at Hansa Rostock.
On Friday, visiting Hanover came from behind to beat newly-promoted Karlsruhe.