I definitely have to say that the glass matters and I have my preference on the type of glass I like....
Must be smooth and clear: This is so that I can enjoy the simple sight of the wine, check for legs, check color, and marvel in the clarity of the wine. Although it looks pretty, cut-glass or frosted glass obscures all of this enjoyment.
Must be "over-sized" (say a 12 oz capacity) and of a certain shape: I have to admit, I am a swirler. I like to swirl my wine and then inhale to enjoy the aromas. For me, this is an important part of the experience. Swirling also allows me to airate the wine to suit my tastes and (at times) softens the wine a bit and really allows the flavor to come through.
I like an over-sized glass (filled only 1/3 full) so that there is plenty of space for the aromas to gather.
As far as size and shape, My preference is much like a brandy snifter, rather bulbous and large.
Must have a stem: A trend these days is for the "stemless" wine glasses. I actually had gotten some as a gift one Christmas. They are still in the box.
Without a stem, the wine glass will gather fingerprints. I hate this as I really love a sparkling clean wine glass. I am a bit nuts on this point. I hand wash all of my glasses. The reason is simple.. Have you ever had a glass of white wine that was so clear that you would swear it emitted light? Well, I have and marvel at the sight of it. Fingerprints inhibit this. Also, holding the wine glass by the bulb tends to warm the wine.
Ok, Much like Felix Unger I am a bit of a retentive freak when it comes to my wine glasses. I do, though, have a "one glass fits all" approach. I have not gotten into the very specific shapes of glasses for each particular varietal, but simply use the above described glass for all wines.