Full details of the exhibit, a list of the winners including screen-shots and runners-up by console (PDF), the announcement video, and a question session with the curator of this collection.
Those with art chosen for exhibition (pre-PlayStation 2) are:
1943: The Battle of Midway
Advanced Dungeons and Dragons
After Burner
Attack of the Mutant Camels
ChuChu Rocket!
Combat®
Desert Commander
Diablo II
Donkey Kong™
DOOM II
Dune II: Battle for Arrakis
Earthworm Jim
Einhander
Fallout
Final Fantasy Tactics
Final Fantasy VII
Goldeneye 007
Gradius V
Gunstar Heroes
Jumpman
Marble Madness
Metal Gear Solid
Pac-Man
Panzer Dragoon II: Zwei
Panzer Dragoon Saga
Phantasy Star
Phantasy Star IV
Pitfall II: Lost Caverns
Pitfall!
Rez
Shenmue
Sid Meier's Pirates!
SimCity
SimCity 2000
Sonic Adventure
Space Invaders
Spy vs Spy
Star Fox™
Star Strike
Star Trek: Strategic Operations Simulator
StarCraft
Super Mario 64
Super Mario Brothers 3
Super Mario World
The Bard's Tale III: Thief of Fate
The Legend of Zelda
The Legend of Zelda: Link to the Past
The Legend of Zelda: Ocarina of Time
Tomb Raider
TRON: Maze-Atron
Utopia
Worms Armageddon
Zaxxon
(For those who are interested, the "modern" winners are:
Bioshock
Boom Blox
Brütal Legend
Fable
Fallout 3
flOw
Flower
Geometry Wars: Retro Evolved 2
Halo 2
Heavy Rain
Lord of the Rings: Battle for Middle Earth II
MassEffect 2
Metal Gear Solid 2: Sons of Liberty
Metroid Prime 2: Echos
Minecraft
Okami
Panzer Dragoon Orta
Pikmin 2
Portal
Shadow of Colossus
Star Fox™: Assault
Super Mario Galaxy 2
The Legend of Zelda: The Wind Walker
The Legend of Zelda: Twilight Princess
Tom Clancy's Splinter Cell
Uncharted 2: Among Thieves
Zack & Wiki: Quest for Barbaros' Treasure)
In addition, five playable games will be on display for use by visitors to the museum. These are Pac-Man, Super Mario Brothers, The Secret of Monkey Island, Myst, (and the more modern World of Warcraft). The "The Art of Video Games" exhibit will be on display at the 3rd floor North of the Smithsonian American Art Museum from March 16, 2012 through September 30, 2012.
Which of these classic games deserved to win, and which runners-up would you have chosen instead based on artistic merit? Personally, I find LUNAR and Grandia to be more artistic than Final Fantasy VII.