If you're looking for a working deck, it's hard to go wrong with the Green Crown deck, from the Blue Crown. It's printed on Bicycle stock with standard finish, has Arrco faces and is available in some popular magic variants: stripper, invisible, Svengali and forcing.
Another good choice is the green NOC - the back "design" is just a solid field of green with a white border. Version 1 was Bicycle stock with USPC standard faces and Magic Finish (it was probably the cheapest MF deck available) and came with identical jokers and an extra Queen of Hearts. Version 2 added a variant court design (some details removed for a simpler appearance) and a marking system to identify suit, and the "extra" card was changed to the Two of Hearts. The newest version switched printers from USPC to Expert PCC so the stock and finish are quite different, has no extra card and the in-box quotation was changed to a card reveal to make up for the lost extra card. EPCC uses a 54-card sheet, USPC's has 56 cards.
I'm also a fan of a very good, still easy-enough to find deck - the Tactical Field version of the Bicycle Rider Back. The stock is a bit stiffer and it handles pretty well, plus the shade of red on the cards is much darker. They were intended for military use under "red light" conditions - during night operations, many troop vehicles are equipped with red lights and standard issue flashlights come with removable red lenses, thus providing illumination without ruining the soldiers' ability to see at night, and the ordinary "Bicycle red" is too bright to be visible under the red lamps and flashlights. The deck does have a few big drawbacks, though. Not only is it out of print (while still reasonably priced) but the tuck boxes are "camouflaged" for red-light readability with no markings to indicate which of the two back colors you have, deep green or black.
Another green deck I like is the Bicycle Eco deck. It's made of recycled and recyclable materials using non-toxic, all-natural coatings and inks, and while also out of print is still available but reasonably priced. The red suits in the deck are changed to green.
Arrco "US Regulation" decks are available in green - I advise against them. The coating came out terrible and the cards stick together too much.
For a very classy look, Ellusionist's Artifice deck comes in an attractive emerald green, both full-sized and miniature. There's also a Gaff System for it - a deck with gaffs for the green, v2 blue and Tundra editions of the deck, complete with instruction DVD.
The Smoke and Mirrors series from Dan and Dave had an "Eco Edition" with version 4, a color close to olive drab with color-matched courts in the original edition. Better to get the reprints from the version 7 boxed set, now available individually with standard USPC faces. They're cheaper and have a Magic Finish coating. The originals reportedly have a custom coating that's never been identified by anyone outside of D&D or USPC.
Want excellent handling? Bill Kalush created the Bee Erdnase 216 in green and brown. The back design is one way, but the finish, produced by USPC under his supervision, is unlike anything they've ever produced in recent years or since. The old-style faces are nice, as long as you don't mind having custom-faced kings - Bill is on the King of Hearts while David Blaine is on the King of Spades; I can't recall the remaining two, but they're the same people he puts on pretty close to all of his decks.
Bicycle Rider Backs were produced as limited editions in green three times - one was a straight deck which I think was ordered by Diavoli and came in the classic box when first produced but now comes in a "standard" box and comes from Erlanger instead of the originals, which came from Cincinnati. The other two were equipped with gaff cards for the extras, created by Magic Makers. One was a standard green while the other is an "inverse green" - the colors are reversed from what they normally look like. I'm nearly certain both versions had all-green faces. They're not easy to work with - the red pips don't look right on the deep green background. But it could be worse - looking at the yellow version of this deck is like having self-conducted laser eye surgery with a lightsaber for a scalpel...
I'm sure there's more, but that's what comes to mind for now.
Fes: treat those TH greens with respect! They're called "Platinum Edition" for the silver border around the green back and were produced for a Japanese magician named Tomohiro Maeda as a very limited and out of print edition. The best examples are available with the original box, containing the deck, some instructions for magic tricks in Japanese and some really cool stickers (see the image below). For the reason of rarity, I didn't recommend them as a working deck.