In todays capitalistic society without money one cannot do anything. We have to live, eat, work, dress, etc, and without money we can't do any of these things.
In an agrarian society, on the otherhand, one would not need any money as one could get by on farming and living off the land, build one's own house, and barter for things that you need and cannot provide for yourself.
So, to answer the question, in todays sysyem it would have to be money. Not lots of it mind you, but enough where I could be comfortable and not poor. I've seen what alot of money can do to people. If I do manage to get alot of money, I hope it would be due to my own legal efforts, and I don't think I would go crazy with it. I would probably just be the same, only a little more comfortable.
I would not desire fame because it would completely eradicate any privacy I may have or desire. With fame you are always in the public eye. Look at the Royal Family in England. They have no privacy whatsoever. Every move they make is caught on tape or film. If they even fart, its broadcast to the world.
Just read or watch an interview with any famous person and the question of privacy will always come up and they will always say that they wish they had more of it. However, as has been mentioned in other posts, there must be some inner need or boosting of the ego to make one desire fame and to always be in the public eye.
Besides when one looks deeper into the lives of the rich and famous, one soon discovers that having great fame and fortune is not all it's cracked up to be. Most of them are pretty depressed most of the time. After all, once they get the fame and every material object they've ever desired what else is there to look forward to? It becomes like a drug where you have to have more and more of it in order to feel the same satisfaction.
However, that's just my opinion as others may not feel the same. Interesting question.