Let me put it differently: simply put, things my Caucasian friends take for granted, I can't.
Whenever I go car shopping, there is an assumption that I don't have the money to buy a car at that dealership; that I don't belong. When I tried to buy my first car solo in the 1990s, I had $20k for a downpayment, and dressed as was typical of the preppy/yuppie types around the area. I was looking for something in the $30-45k range.
I shopped all the major makers, sometimes multiple dealerships by the same maker. Sometimes I took a white buddy with me. I was often ignored for 30min to an hour before anyone would talk to me. Many places refused me a test drive.
My buddy? HIM they talked to. Sometimes, if I walked in ahead of him, they'd walk past me to greet him.
When I finally got to test drive something I wanted and decided to buy it, the salesman assumed I had bad credit. He offered me a financing rate 3% higher than the loan my bank had already pre-approved me for. I asked him point-blank if he had checked with them, and he told me he had. I handed him a business card and told him to call back and talk to
my banker, using my actual name.
This isn't one car buying trip.
This is typical of every new car buying excursion my family has had for the past 20 years.. IOW, I cannot take for granted that I will be respected as a customer.
When my Dad was arrested coming out of church, the assumption was that an entire congregation of blacks saying he had just been an altar server for the past 90 minutes was lying to protect one of their own. Do you honestly think cops would arrest a white kid with a similar alibi? IOW, I cannot take for granted that my rights of liberty will be taken for granted.
When I went to a black tie event as the arm candy for an invitee friend of mine, I got out my tuxedo & my opal stud set. I was the only black guest there. Many guests- some who had ignored the black tie portion of the invite and got admitted anyway- assumed I was supervising the staff. IOW, I cannot take freedom of association for granted.
So, "White Privilege" isn't so much that people are going out of their way to give white people special treatment. It is that there are underlying unconscious cultural assumptions that blacks (and other minorities) are not solvent, educated, truthful, and generally don't belong.
See also "criming while white" on Twitter and Scalzi's blog:
http://whatever.scalzi.com/2012/05/15/straight-white-male-the-lowest-difficulty-setting-there-is/