Pong. Wait, am I alone on this island?

N64

If portables are counted then Gameboy Colour

the Neo Geo

Either the 360 or the PS3, really.

I'd have to cheat and bring my hacked PS3. Can run everything up until PS1, minus N64 (wish someone would get an emulator of that out), and quite a few PS2 games. And the PS3 library itself is pretty damn awesome. It will suck not having the advancements of the PS4/Neo, but I'll survive.

The GameCube. Luigi's mansion, double dash, melee, gauntlet dark legacy, rogue squadron 2, animal crossing are all amazeballs

I'd go with either the SNES or a handheld. I have way to many classics I enjoy on the system and I never get tired of playing them. As for a handheld, I'm having a hard time deciding. The GBA, DS and 3DS have some great games. I'd have to look at the libraries of all 3 before I decide. They all have excellent games.

Wii U because the Metroid Prime trilogy is on the digital store plus I get some great GBA, SNES and N64 games and of course the Wii U exclusives.

BC PS3. If not BC then PS3 anyway.

Watching my kids play SSX 3 atm, I'm inclined to say the ps2. PS2 era was the best time in gaming for me on console. Curl up behind a nice old crt tv which will keep you warm at nigh too on that island.