Sounds like some of you need to do a European rail/ski vacation to soothe the soul. Course what you gain in peace and quiet from not having to drive, you lose in liftline-related stress. But hey, that's skiing in the Alps.
There are a lot of ski areas in the Alps with train stations in town, notably in Switzerland, though many of these (Zermatt is one, Crans Montana another) require a change from normal trains to a narrower guage or cog train at some point.
The train station in St Anton, though no longer right in the middle of town, is part of a direct route that runs Zurich/Innsbruck, I think.
The Milky Way resorts (of which Sestriere is the most famous station) in the western Italian Alps are also on a rail line, though I'm not sure there is an actual town sharing a train station and lifts. Pila here in Italy is a good bet by rail, as there's a gondola leaving from the town itself, which has a mainline train.
The French Alps are well served by long-distance trains, though if memory serves me, you generally disembark at a hub like Bourg St Maurice and take buses from there. Chamonix is connected directly by what I remember to be a narrow gauge-type train.
The Swiss railway, of course, will also check your skis and stuff straight through to your final destination, perhaps even from customs at Zurich or Geneva airports.
Several of the Swiss routes are among the most scenic in the world (Glacier Express, etc.). Many of these pass through ski towns like St Moritz, Davos, Andermatt, etc.
But ultimately, more people drive to ski than go by train...