Here are some designs I like, but not usually considered "beautiful" my most: 1. Washington Quarters (great classic design overshadowed by the more exotic Standing Liberty) 2. Seated Liberty Halves (very good looking but it's a shame the same design was used on quarters, dimes, and half dimes) 3. Liberty Double Eagle (I like Saints too, but the Liberty design is very underrated
Silver dollar: Peace is a bit prettier than the Morgan,in my opinion, though the Morgan has better history/collectibility. Gobrecht is cool, but only a dream for most Half: Walking Liberty. Reverse is awesome. Obverse is also pretty good Quarter: Washington! good looking design, though not all that exciting. SLQ is overrated, does not wear well at all Dime: I will say Seated Liberty (underrated design) , followed by "Mercury" Nickel: Buffalo Small cent: Lincoln Wheat (Memorial is not bad, I just love the Wheats) Honorable mention: Barber coins are not bad, get a bad rap because they were used simultaneously on dimes (with different reverse), quarters, and halves. Kennedy and Franklins halves are both fairly nice.