Two goals from the club's two super Marios made it 41 league games without defeat for Bayern Munich, Mandzukic and Goetze giving the league leaders a two-goal advantage before they survived a late scare to beat Hamburg 3-1.
Despite missing the Ballon D'Or nominated Franck Ribery in the starting line-up, the league leaders and European champions were never in danger of dropping points, enjoying huge spells of territory as Hamburg were almost continuously pinned back. In fact, Bayern had 77 per cent of possession in the first period, their opponents resorting to launching the ball long to clear the danger, at least temporarily.
Toni Kroos had the first shot in anger, forcing Jaroslav Drobny into a low diving stop. Five minutes later and the home side had the ball in the net, only for the offside flag to (correctly rule out Thomas Muller's tidy finish after rounding the goalkeeper. Ten minutes before the break, Bayern should have taken the lead, but Mandzukic could only glance his header wide of the front post when it looked easier to score.
If the Croatian forward was guilty of missing such a golden opportunity, he almost immediately made amends when, on 42 minutes, he gave Bayern the lead. Kroos floated the ball across the pitch to the right wing, where Rafinha crossed first time into the six yard box. Mandzukic ghosted ahead of his marker and allowed the ball to hit him square in the face, guiding it down past Drobny.
Less than ten minutes after the break, Bayern effectively ended the game as a contest with a wonderful piece of individual skill from Mario Goetze. The ball was struck firmly at the German international. The first touch controlled the ball instantly, whilst the second lashed it past Drobny on the volley.
Bayern then proceeded to slow the pace down almost to a standstill. Ribery was introduced for the last 25 minutes but the home side almost casually ticked down the clock. Van der Vaart had a header that forced Manuel Neuer into a smart stop.
They almost paid for their obvious complacency, as Hamburg pegged them back with four minutes remaining. A low ball into the box from Marcel Jansen found Pierre-Michel Lasogga on the edge of the area, and the forward smashed his ninth of the season past Neuer.
With just seconds remaining however, substitute Xherdan Shaqiri restored the two-goal advantage, beating Drobny at his near post with a low side-footed finish, the final whistle blown before the game could even kick off again.