Consoles :

Colecovision (1982)

Atari 2600 (1982)

Mattel Intellivision (1983)

Atari 5200 (1984)

Atari XEGS
Sega SG-1000 (1985)

Sony PlayStation 2 (2006, "Sega Genesis Collection")

Sony PlayStation 3 (2009, Sonic's Ultimate Genesis Collection) [unlockable]
Computers :
Tandy Color Computer (1983)

Apple II (1983)
Atari 800 (1984)
PC [Booter] (1984)
Commodore C64 (1984)

MSX (1985)
Sinclair ZX Spectrum (1985)
PC [MS-DOS] (1985)

Amstrad CPC (1986, "Zaxx")
Others :
VFD handheld game (1981) released by Coleco : one of the coolest handheld arcade conversion, Coleco's Zaxxon uses a unique combination of mirrors and 2 different VFD displays to get a 3-D affect. Your ship appears to be flying above the surface of the planet and actually flies over walls and other VFD generated images (not possible with just one VFD display). The planet's surface and ground based enemies are created by one VFD, while you and air-based enemies are created by the VFD reflected off a mirror.
LCD handheld game (1982) released by Bandai : it's a cool double panel LCD game (there are two LCD panels on top of each other). The dual panel creates a kind of 3D effect with lower objects on one panel, and higher ones on the other. Also, all of the background images are created by the LCD and animated. It's quite impressive for an LCD game (and a must have if you love Zaxxon!).
VFD handheld game (19??) released by Bandai : this game has a unique way of creating a 3-D effect - it only uses 1 VFD display (unlike Coleco's Zaxxon which uses two). The VFD is basically split in two, the upper half you see as the lower part of the playing field, while the lower part of the VFD is reflected on a semi-transparent mirror to create the upper half of the 3-D playing space.. Pretty cool idea to help, and it really works in that all of the ships (not just the players ship like on the Coleco version) have a true depth. It's a little awkward to play sometimes as you have to sit just right to get all of the screen centered perfectly, but once you are in position, it's a very nice version of Zaxxon. It features the planes in space mode, and the flying over land mode.. The only thing that seems to be missing is the actual Zaxxon boss at the end...