Wii U, 3DS, Xbox 360, Wii, GameCube, Genesis and soon PS4.

PS3, PS4, PC is what I currently play games on.

I also own:
PSP
PS2
Playstation
GB Color
GB Advance
Nintendo DS
Sega Saturn
OG XBOX

Wii U

Current gen: XBox One, WiiU, 3DS

Legacy: Wii, DS, XBox 360, PS2, GBA SP, N64, PSX, Mega Drive, SNES, Game Boy

At the moment just PS3 and an average PC and PS2 and PSP next up of course will be the PS4

Own:

PS4
PS3
PSV
PS2
PS1
and PC (only play Lol there and occasional emu)

PC
OS X

Wii
Wii U
Game Boy Micro (counts as gba?)
DS
3DS

Playstation 2
Playstation 3
Playstation 4
PSP
PS Vita

Xbox 360

This is what I remember that I have at least.

Alrighty then.

I don't know what you prefer, but I'll order them per Gen. I have all these still, never sold anything except a duplicate Dreamcast;

1st:
NINTENDO Color-TV Game 15

2nd:
ATARI 2600
PHILIPS Videopac G7000 (which is the MAGNAVOX Odyssey2 elsewhere)

3rd:
NINTENDO NES

4th:
NINTENDO SNES
NINTENDO Gameboy
SEGA Mega Drive (Genesis elsewhere, but I doubt you don't already know that )

5th:
NINTENDO N64
NINTENDO Gameboy Color
SONY PlayStation

6th:
NINTENDO GameCube
NINTENDO Gameboy Advance
SEGA Dreamcast

7th:
NINTENDO Wii
NINTENDO DS
SONY PlayStation 3

8th:
NINTENDO WiiU
NINTENDO 3DS

Others:
PC, Mac OS (though I barely game on that, use PC for that), iPhone, iPad

As for the poll, I don't really identify with any, because every type besides mobile (unless you count ports of 'real' games obviously) has a couple of my all-time favorites. If going by pure gametime however, PC wins hands-down, yet across all generations I own way more console games. Neither is really a fair comparison though.

PC (Gaming x2, non gaming x2)
Windows 8.1 Tablet (x2 - 7"/10")
Xbox360 (x2)
PS3 Slim
Wii
3DS xl(x2)
Vita (x2)
PSTV (guess that's a Vita too?)
Gamecube (x2)
PS2 - (Slim/Phat)
Xbox (x2)
Dreamcast (x2)
DS lite (x2)
PSP
PSP-Go (x2)
N64
PSone
Sega Saturn
GBA SP (x3)
GBA Micro
Neo Geo Pocket Color
Nokia N-Gage
Megadrive (x... many, lots of hardware revisions)
SNES (x3)
GBC
GB-Pocket
GameGear
NES (x2)
Master System 2
Atari 2600
Atari 800 + Tape Deck

Have games collections for them all still in perfect nick, ranging from the NGPC/N-Gage which I have 3/4 games for respectively, up to the GC which I have 177 games or the X360 which I have over 200 retail games, Love me some Gaming.

Ya know... I'm sure there is one console now laying in a draw crying out that I've forgotten to list it... but damn it I love you, whatever obscure console you are that I've forgotten!! (although probably less so or I would have listed it)

PlayStation 1

PlayStation 3

Xbox 360

Xbox One