My father does pencil portraits of famous people and to complete them he seeks to have them sign it. So I am 1 degree of separation from some famous people, I guess.
Most famous of which is the Dalai Lama, others are more "locally famous" to Portugal like a couple of marathon runners who won Gold at the Olympics, a former prime minister, etc.
As part of the signing and stuff, I got to meet Dr James Watson (as an interpreter for my father), the guy who got the Nobel for being in the team that discovered the double helix nature of DNA.
Found out today I have 3 degrees of separation to Elle MacPherson. The brother of a girl I work with went skiing with her in High School.
I also have 3 degrees of separation to Queen Elizabeth II. When I was living in England, I went out with a girl who was a pastry chef in the kitchen of the Queen Mother. She made birthday cakes for Princes William and Harry and went to chef school with Gary Rhodes (2 degrees of separation to him).
I met and escorted the new Premier on Ontario (Canada), which works for Prime Minister or Canada Harper, which meets with US President Obama, which has had an audience with Pope Benedict, which has the ear of ... Well... you know who.