I was solely a vodka martini guy for a long time. For a long time our favorite vodka was Ketel One, then it was Stoli, then Grey Goose (although I find it prohibitively expensive), then Chopin (distilled from potatoes -- probably the smoothest spirit I've ever had), and now we really like Level. But over the past few years, I've been sneaking some gin into my martini recipe. I don't like it straight, but adding about a third as much gin (Bombay Sapphire) to the vodka gives it a botanical kick that works for me these days. I'm back into olives too -- for a long time I just wanted a lemon twist.
I like that sensation too. When I make my own the vodka comes right out of the freezer, and I chill the cocktail glass beforehand too. A martini just isn't a martini unless its crackling cold. I can't duplicate the ice slivers on demand, but I bought a "Fatal Attraction" style ice pick, and I chip small pieces off of the ice and just let them float on top. With the vodka already at freezing temperature, they don't melt for awhile, and the effect is similar.
When I'm in the mood for something a little different -- a sweeter variation with a very cool deep amber color, I'd recommend an Italian Martini, in which you make the martini with vodka and a splash of Campari and sweet, not dry, vermouth. Then use a razor-thin slice of lemon for a garnish. Some people find Campari to be too astringent, but I love the stuff when I'm in the mood for bitters.