Or a coin from every country/Empire/Dynasty that ever existed. That would be fun to do, and you learn a lot about history, much more so than a high-grade set of the same type of coin.
How about a "complete" type set of U.S. coins including a Chain Cent up to Turban Head gold pieces. Now that would be a set that would take a lifetime to complete along with very deep pockets. You could start with MS examples of coins found in regular type sets and then work your way up to the Stella.
A truly impossible one would be what Joe2007's suggestion, but all in MS/PR70. Or if you want one that is theoretically possible but unlikely ever to be completed, the best graded example of each.
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