Wii
PS2
360

That was actually really easy considering all the options available on the Wii.

Sony Playstation 3 80GB without BC
Sony Playstation 2, slimline
Nintendo 64

Wii
PS2
360

This is assuming I have all the ps1 games to play on my ps2, all the xbox games to play on my 360, and all gcn games for the wii aswell

Wii (can also play Gamecube games)
PS2 (huge library of games)
360 (can play games like GTA, Halo, etc.)

And don't forget all the nintendo, super nintendo, n64, sega genesis, neo geo......

Dude, wii is a must in this situation.

Sony Playstation 2, slimline

Wii (VC BC GC)

PS3

Ideal:

PS3 60GB BC

Wii

DS

Fascinating responses.  Not quite what I expected.

• Nintendo Wii Lots of exclusives, VC, and basically full BC with the GameCube.
  
• Sony Playstation 3 80GB without PS2 BC HD Crossplats and PS3 exclusives, plus PS1 BC and Blu-Ray/DVD.
  
• Microsoft XBox 360 Pro, with 60GB HDD HD Crossplats and 360 exclusives, plus some XBox BC and DVD.
  
• Sony Playstation 2, slimline  Huge software library and near full PS1 BC, coupled with DVD.
  
• Microsoft XBox  the 360 has some decent amount of BC with the original XBox, and many of the XBox's best titles were on the PS2 anyway.
  
• Nintendo GameCube  The Wii has near 100% BC with the GC.  Disposable.
  
• Sony Playstation Playstation 2 and 3 both have near 100% BC.  Safely disposable.
  
• Nintendo 64 Many of its finest games are on the Wii now.
  
• Sega Dreamcast a great console.  library too small though.

I made it "3" consoles, because, for me, the 4 that weren't obvious exclusions are pretty tough contenders.  I basically wanted to see which of those 4 consoles would get the boot the most.  If I had made the PS3 one of the PS2 BC models, the choices would have been too clear.

^wii has full BC with game cube

If ps3 was BC, then there will be no question...since ps3 has no BC i guess ps2 will be a better choice

Wii, PS2, Dreamcast

^^Not with the Gameboy Player!