Weaver - That's an interesting question about the eyes - one that I don't remember being asked before. In a way it's like when the Grinch got his heart 3 times bigger. lol
The eyes will have a certain clarity and openess.
As we become enlightened or beyond, our kundalini/chi has moved from the base of the spine throughout the whole chakra system, culminating in a wonderful opening at the top of our head. Our aura will become brighter with energy, it will extend farther than when we had conflict (3-5 meters), and there will be a certain clarity in the eyes that was not there before. There is likely to be a double blue aura around the individual, which sometimes can be seen (if you see energy), and even this energy can get reflected in the eyes.
The lack of desire for possessions and experiences isn't a direct correspondence to spiritual progression, though depending on the person it can be a sign of shifting and transformation. If we've already had our material desires completed (i.e. Buddha, St Francis), then it can be simply a progression. If we haven't completed with possessions and experiences, then they will come back into our lives (i.e. spiritual/religious teachers who say they are celibate, only to get caught having sex with a disciple).
An encompassing commitment to being in the present moment no matter what, releasing any need to be right about anything (releasing our past), releasing any beliefs in favor of direct experience, embracing everything and everyone as sacred, being internally validating - these are signs of progression.