The coinage of 1792 can be described, nicely, as "quaint." Some are surprisingly attractive, considering their age and the technology available. And some are not!
Half dismes of 1792 are famous and have been written up in non-numismatic publications. Rumor has it that Martha Washington was the model for the Liberty head, and her husband the president contributed silver for the coins. None of this has been verified, but no matter, the coin is a genuine piece of history. The eagle on the reverse looks like a fledgling, appropriately enough. The first one I saw was at a major convention, a lovely AU coin with luster. I've seen one graded as a specimen, and others that were well-worn.
Dismes are also known, but are much less famous than the half dismes. The eagle on the reverse looks more like it's hovering, rather than flying. I saw one that was worn almost smooth. I've also seen one nearly Mint State--remarkable for its age.
The silver center cents are curious and have their own mysteries...how many were struck, in each metal? Some at copper, some are "fusible alloy," and one is missing the silver center. If coins could talk, this one would get my vote as the one I'd most like to hear. Although the design is not exactly beautiful--my nomination for ugliest Liberty ever--this coin is a treasure.
On the other hand, the Birch cent is pretty and shows a Liberty that is almost smiling. Some show a motto on the edge, "To be esteemed be useful," which is my personal motto. This coin is quite rare. I saw my first one fairly recently.
The best looking design of the bunch belongs to the coin referred to as a quarter, although no denomination is shown. A regal Liberty head appears on the obverse, and the reverse shows an eagle on a globe. This coin is probably the rarest of all of the 1792 issues.
Not as flashy as a big gold coin, not as pretty as a silver dollar, but the coins of 1792 are as historical as a collector can find.