The two most obvious uses would be as equity shares in a company, or as "bearer tokens."

A "bearer token" means that anyone that sends that token back to the issuer will receive something for it.

For instance, Anon136 had the idea of issuing tokens that would correspond to a specific type of 1 oz. silver coin.

He would sell these tokens on the asset exchange for enough money to cover his cost + shipping to the United States + some profit for himself.

So if he has 500 silver coins in his vault, he can sell 500 tokens redeemable for a 1 oz silver coin, including shipping.

Now these tokens can be traded freely on the exchange and function as a sort of currency. If one day I decide that I would rather hold the coin in my hand than just own it digitally, I can send my token back to Anon and he will mail me the silver coin.

That is one example. There are novel ways of using these assets to raise capital to start a small business, as well.