Really the only one that jumps out at me on first glance as "hey, that's pretty cool" is New Mexico's.
Since i'm being silly and curious and OCD i counted up some various statistics about the coins. Presuming my counting skills are accurate,
--live animals (other than humans) on them: 18 (4 with horses, 2 with bison, 1 cow, 1 with oxen, 2 salmon, 1 bear, 8 with various kinds of (presumably state) birds)
--dead animals on them: 1 (Ewww. Bison skulls may make good props for westerns and such, but i'm don't really think i'd like to put one forward as the symbol of my state =P)
--various plants on them: 18 (Not gonna bother listing these all out, though Mississippi having nothing but two flowers on it is a bit odd. Don't they have some more memorable history they could have used instead? I don't know, something involving steamboats and such perhaps? In general i tried to only count plants that were in the foreground, and not scattered grass/trees/whatever populating the background)
--people on them: 15 (8 with "famous" people, 3 with totally generic people, 4 with statues or some other idealized form of people.)
--the outline of the state: 15
--a building of some kind: 9 (5 with "normal" buildings, 2 bridges, 2 monuments (Statue of Liberty and St. Louis Arch))
--a landmark of some kind: 9 (I tried to limit it to ones with a named landmark rather than just having some terrain in the background. Included Rushmore here rather than as a monument)
--a vehicle on it: 10 (2 airplanes, 1 spaceship, 1 car, 1 train (well, 2 trains on 1 coin =) and 6 with boats in various kinds and numbers)
--a musical instrument on it: 2
--featuring water in some way: 12 (I counted Michigan and Montana but not Hawaii, based on what was being enclosed by what and how the coin was described. Florida's galleon appears to be doing a valiant job of floating on absolutely nothing.)
--featuring the sun in some way: 4 (Including New Mexico's cool sun symbol.)
For leftovers we've got some cheese, a diamond, some rope, some stars in various shapes and sizes, a covered wagon, a keystone, and a golden spike. Plus a whole lotta various slogans and mottos of course.