When flying out of Terminal 1, make sure you do last-minute gift gathering before you go through security.
The airport’s best shopping is in the Central Area, Munich Airport Center (level 03), and the departure area of Terminal 2.
Only passengers of Lufthansa and its Star Alliance partners can access all the tony shops in Terminal 2, where 110 stores and restaurants on three levels compete for departing tourist euros. Level 04 in Terminal 2 is for Schengen departures, level 05 is for non-Schengen departures.
Shopaholics should grab a copy of the exhaustive Munich Airport Shopping brochure (free), which is found in stands around the airport.