European Virtual Airlines flies to several mountain destinations in the Alps: Courchevel, Samedan st, Moritz, Lugano and of course Innsbruck.
Atlas flies also to these destinations (except courchevel) and in addition to several mountaineous destinations all over the world: Aspen, Telluride, Lake county airport, Jackson hole in the US, then Paro in Bhutan and some places in the Andes in south america. Have a look at the destinations here:
Atlas Virtual AirlinesYou can fly to these airports as a scheduled flight (see respective map linked above) or as a charter flight.
nice bonus: At both these airlines you get an award for flying to all "dangerous" airports including but not limited to the above mentioned.