I am firmly in the camp that prefers platinum. Although I love rose and yellow gold, white gold does not do it for me, for all the reasons already listed in earlier posts.
What I like MOST about platinum is the weightiness and feel in my hand. I've worn both WG and platinum 24/7; the platinum held up much better. When it comes down to it, I prefer the look of dull and dinged-up platinum to the look of worn-away white gold in need of a rhodium re-wash. And, as already mentioned, I can take a platinum piece to a jeweler and have the metal polished to look like new. By contrast, with WG, once the metal is worn away, it is gone, quite literally.
That being said, I understand someone's preference for WG. If you like a lighter-weight piece and feel of the gold alloy, you don't care for the patina of worn platinum, and, you are not as hard as I am on jewelry, WG can be your perfect metal, especially if the price is reasonable.