One thing that has really surprised me is that there doesn't appear to be a comprehensive list of Gen 1 consoles. Everything that I've found online is incomplete and a few places are actually incorrect due to people misunderstanding what generation a particular console is. It also doesn't help that based on what wikipedia page that you're looking at the number of consoles varies considerably.
Thankfully, someone turned me on to a book on Video Games written in the 1970's that has a fairly decent list. Between that I've come up with the following list. I'd appreciate that anyone who knows of any errors or omissions in this list would comment, so that I can create a comprehensive list.
Domestic:
APF:
TV Fun Model 402
TV Fun Model 405
TV Fun Model 406
TV Fun Model 442
TV Fun Model 444
TV Fun Model 500
Atari:
Pong
Pong Doubles
Sears Pong IV
Super Pong
Super Pong Ten
Ultra Pong
Ultra Pong Doubles
Stunt Cycle
Video Pinball
Sears Speedway
Sears Speedway IV
Calfax:
Bag-a-Tel
Coleco:
Telstar
Telstar Classic
Telstar Deluxe
Telstar Ranger
Telstar Alpha
Telstar Colormatic
Telstar Regent
Telstar Sportsman
Telstar Combat!
Telstar Colortron
Telstar Marksman
Telstar Galaxy
Telstar Gemini
Telstar Arcade
Conic International:
TVG 101-4
TVG 102-4
Concept 2000:
Nose T' Nose
Four-Way Video Game
Entex:
Tele-Pong
Executive Games:
Face-Off Hockey/Soccer
Fantasia:
Fantasia 101
Federal Transistor Co:
Video Sport
General Home Products:
Gulliver Triple Challenge
Wonder Wizard
Wonder Wizard Bull's Eye
Wonder Wizard Sharp Shooter
Wonder Wizard Scoreboard
Wonder Wizard (May have had a name but unknown?) Model 7709
Heath Co:
Heathkit
Intercon Marketing Corporation:
Colorgame
Lafayette:
Tournament 2000
Lloyd's:
TV Sports 801
TV Sports 802
TV Sports 813
Magnavox:
Odyssey
Odyssey 100
Odyssey 200
Odyssey 300
Odyssey 400
Odyssey 500
Odyssey 2000
Odyssey 3000
Odyssey 4000
4305 (Ok, this is a TV, but the console was built in, so I think it counts.)
National Semiconductor:
Adversary
Olympus Electronics:
TV Sports 77
Quadtronics:
Quadtronics Model Q376
Quadtronics Model Q476
Radio Shack:
TV Scoreboard
Richochet Electronics (Other reference says Microelectronics Systems):
Color TV Game
Super Pro
Challenger
Champion
Formula 500
Richochet 8
Santron:
Gorilla Game Model TG-101
Gorilla Game Model TG-201
Tele-match:
3300R
4400
6600
7700
Unisonic:
Sportsman T101
Tournament 100
Tournament 102
Tournament 150
Tournament 200
Tournament 1000
Tournament 2000
Tournament 2501
Olympian 2600
Universal Research Labs:
Video Action
Video Action II
Video Action III
Video Action IV (Indy 500)
Venture Electronics:
Video Sports VS-1
Video Sports VS-5
Video Sports VS-7
Foreign:
Binatone:
TV Master MK IV
Commodore:
TV Game 2000K
TV Game 3000H
Colorsport VIII
Epoch Co:
TV Tennis Electrotennis
Granada:
Colorsport VIII
Interton:
Video 2000
Video 2400
Video 2501
Video 2800
Video 3000
MBO:
Tele-Ball
Tele-Ball II
Tele-Ball III
Tele-Ball IV
Tele-Ball V
Tele-Ball VI
Tele-Ball VII
Tele-Ball VIII
Tele-Ball IX
Nintendo:
Color TV Game 6
Color TV Game 15
Color TV Game 112
Color TV Game Block Breaker
Computer TV Game
Philco Ford:
Telejogo
Telejogo II
Philips:
Tele-Spiel ES2203
Tele-Spiel ES2204
Tele-Spiel ES2218
Tele-Spiel ES2208
N30
Odyssey 2001
Odyssey 2100
VEB Kombinat Mikroelektronik Erfurt:
BSS 01
Videomaster:
Strika
Strika 2
Colourscore
Colourscore 2
SuperScore
Sportsworld
VisionScore
ColourShot
Videoton:
TV jatek
Zanussi:
Ping-o-Tronic