Using REfan001's list from above, with a few additions, here is the list of Resident Evil titles with the machines they are available for. I will probably forget a console for a particular title, so feel free to point out any errors or additions.
Resident evil 0 - gamecube
Resident evil - PS, Saturn, PC
Resident evil (Director's cut) - PS
Resident evil (Director's Cut Dual Shock) - PS, PS3 (via PSN)
Resident evil (Deadly Silence) - DS
Resident evil (Remake) - gamecube
Resident evil 2 - PS, gamecube, PC, N64, Dreamcast, PS3 (via PSN)
Resident evil 2 (Dual Shock) - PS
Resident evil 3: Nemesis - PS, gamecube, PC, Dreamcast
Resident evil: Code Veronica - Dreamcast
Resident evil: Code Veronica X - Dreamcast, PS2, gamecube
Resident evil 4 - gamecube, PS2, PC, Wii
Resident evil 5 - Xbox360, PS3, PC (not yet released)
Resident Evil Archives: Resident Evil (not yet relased) - Wii
Resident Evil Archives: Resident Evil 0 (not yet relased) - Wii
Resident evil outbreak - PS2
Resident evil outbreak file 2 - PS2
Resident evil Survivor - PS
Resident evil Survivor 2 - Code: Veronica - PS2
Resident evil Dead Aim - PS2
Resident evil the umbrella chronicles - Wii
Resident evil the darkside chronicles (not yet released) - Wii
Resident Evil Pachislot - Japanese Pa*****o machine
Resident evil Gaiden - gameboy colour
Resident evil The Missions - mobile phone
Resident evil The Stories - mobile phone
Resident evil The Episodes - mobile phone
Resident evil The Operations - mobile phone
Resident evil Degenration - iphone/ipod touch
Resident evil Genesis - mobile phone
Resident evil Confidental Report - mobile phone
Resident evil Uprising - mobile phone
Biohazard 4 Mobile Edition - mobile phone
Resident evil Portable - PSP (not yet released)
There are probably a few versions missed out, such as slightly different variants between Japanese / American / European releases, but this list should be enough to get on with.