How much is an uncirculated 1993 American Eagle dollar worth?

It would depend on what type of American Eagle coin it was. An American Eagle one ounce silver coin would be worth silver spot price, which is just over $21 a the time of writing, a one ounce American Eagle Gold coin would be worth gold spot which is just shy of $1300.

The spot prices for metals can be found on websites such as Kitco or by simply typing in Gold (or silver) spot price in google or another search engine.