Consoles:
Nintendo Entertainment System/NES
Super Nintendo/SNES
Sega Genesis
Launch Day Nintendo Wii

Silver GameCube/Purple(I returned the Purple one don't ask why)
Xbox(bored the crap out of me to the point that I had to emulate it,now I can play Michael Jackson's Moonwalk and other old classics like RoboCop,Street Fighter II)
Xbox360(Pro Model&Xbox Kinect model)
PlayStation(The original PlayStation the one that could play Super Nintendo games only 500 were released I think)
PlayStation 2(The best console of all fucking time,the greatest console in existence,the console with the biggest library in existence,best,sales,etc.. you get the rest.
PlayStation 3(MY favorite console of ALL TIME this console has games unlike it's other two competitors)

Handhelds:
Atomic Purple see through Game Boy Color(The greatest handheld of all time)
Gameboy Advance
Gameboy Advance SP(I own 4 SP's)
Gameboy Micro
Nintendo DS Original Launch Day Silver
2 PSP's Slim and Original
That's mostly it I own every Nintendo Handheld that ever existed except the Gameboy Pocket)

Oh and Just to point this the game that I have racked up the most hours and playing time for is Super Smash Bros. on GameCube and Wii.

The best four player fighting game in history.

Launch Day PlayStation 2 FTW!! 11 Years and still running like new most reliable console I have ever touched/played.

I'll update with dates later.

Handhelds:

Gameboy
Gameboy Color

Consoles:

Super Nintendo - Still have & functional
Nintendo 64 - Still have & functional
Gamecube - Still have & functional
Wii - Still have & functional

PSX(1) - Broke after a day
PS2 Slim - Still have & functional
Footstool, uh I mean PS3 - Still have & functional

Xbox - Still have & functional
Jet engine, uh... Xbox 360 Pro - Still have & functional
Xbox 360S 250GB - Still have & functional

HP PC - Replaced when too out of date
HP PC - Died (Too much porn I guess)
PB PC - Replaced when too out of date
Custom PC - Still have, and it's fairly up to spec

Still Have:

Intellivision
Nintendo
Super Nintendo
GameCube
Playstation
Playstation 2
Playstation 3

Had:

Gameboy - Original
Sega GameGear
Nintendo DS

Nitendo
Super Nitendo
Gameboy Colour
PS1
PS2 slim (played the most)
Nitendo Ds
Xbox 360
PS3

GB
PS1
N64
PS2
PSP
DS (kind of, it's my girlfriend's)
PS3

GBC
GBA
DS
PSP
3DS
Nes
SuperNes
Genesis
N64
Gamecube
Wii

My consoles that I have owned in my history, I don't own that many of them today!

Home consoles

Atari 2600

Colecovision

NES

SNES

N64

GCN

Dreamcast

Wii

360

PS3

Consoles that I was given but not really (Basterd foster family would give me them but when I left the home they kept everything they gave me)

-PSOne

PS2

Handhelds

GameBoy

GameBoy Pocket

GameBoy Colour

GameBoy:Advance

Nintendo DS

PSP

3DS

Portable Genesis

Gaming computers

Amiga 500 

Commodore 64 

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Those are the consoles I personally owned or in the PSOne and PS2's case thought I owned. But if you include my foster brothers and such then I also owned almost every console made from Saturn,Master System, Genesis to Xbox. I loved my games and was raised to play them.

Home Consoles:
SNES (?) It broke.
Nintendo 64 (got it used in 2004) I just sold it.
Gamecube (2003) Gave it away.
Wii (2007) Still have it.
PS3 (2011) First gaming system I've ever bought that wasn't created by Nintendo.

Handhelds:
Gameboy Color (2001) It broke.
Gameboy Advance (2003) It broke.
Gameboy Advance SP (2004) Still have it somewhere.
Nintendo DS (2005) It broke.
3DS (2011) Obviously still working.