My favorite and what I think is the most beautiful US coin is the Walking Liberty half dollar. Morgan dollars are timeless and beautiful and I also like a well struck Peace dollar.
Same coins, different order 1 Morgans 2. Walking Liberty Half Dollar 3. Mercury Dime some time 2 and 3 are reversed Nickels Next... Then Quarters
Because of the forum this thread is in, I guess the question is limited to US coins, so: Walking Liberty, F-XF Walking Liberty AU+ Walking Liberty VG-
1) Barber dime 2) 3 cent silver (any type) 3) Standing Liberty quarter next would be Capped Bust 1/2 dime