We who are obscure ought to be grateful for it. It is wonderful to be able to walk down the street and be taken, and left, for an average schlep. A little recognition from a few high-quality individuals is all one needs. Fame can be a curse. The unhinged Mark David Chapman, animated by Holden Caulfield's animus against phoniness, decided that John Lennon was a phony, and so had to be shot.
The value of fame may also be inferred from the moral and intellectual quality of those who confer it.
The mad pursuit of empty celebrity by so many in our society shows their and its spiritual vacuity.
UPDATE: By this metric, however, I count as famous. Well, we live in an age of low standards.