In our airline we start with big picture stuff, like weather, defects, NOTAMS, and terrain issues then we 'brief from the glass'.
The PF runs through what he has programmed in for the descent, arrival, approach and go around and this is then cross checked by the PNF against the Jepp chart.
Quick brief of the radio aids that have been tuned, Nav accuracy, performance in the descent so speeds, (M)DA, go around acceleration altitude etc., quick review of how much fuel you have extra for holding, g/a etc., autobrake setting and where you're going to leave the runway and expected taxi route.
Sounds like a lot but can be taken care of in a few minutes, and as mentioned above, a home base briefing can take even less than that. Innsbruck might be just a tad longer.