a few contenders:
Clap Your Hands Say Yeah/The Clash/Clinic
Clinic's discography is kinda shallow, but Clap Your Hands Say Yeah are a band I can never get tired of, and The Clash are diverse enough to be a good choice.
Futureheads/Gallows/Gang of Four
The depth of music here could be better, but a good mix of music, which is pretty important if it's a desert island kind of situation.
Los Campesinos! and Low are bordered by Lily Allen one side, Lupe Fiasco on the other, neither of which I'd want to bring along to a desert island.
Neil Young/Neutral Milk Hotel/New Order
This one doesn't need too much explanation.
Nine Inch Nails/Nirvana/No Age
If No Age's next album lives up to the awesomeness of Nouns, this could be a good choice.
Phoenix/Pissed Jeans/Pixies
Pop/hardcore/rock - okay, there's no electronic music of any description here (unless you can get away with slipping some remixes in), but still a good mix.
The Strokes/Sunny Day Real Estate/Sunset Rubdown
Any trio involving Sunset Rubdown is going to get seriously considered. The Strokes only have one album that I really want on a desert island, but it's a good 'un. Sunny Day Real Estate is not so much a selling point here.
TV on the Radio/Underworld/The Unicorns
This is one of the most appealing selections. TV on the Radio make the kind of music you're not likely to get tired of anytime soon, Underworld are one of my favourite bands...admittedly The Unicorns would probably get pretty tiresome on a desert island sorta deal.