For me, the McLaren Marlboro livery should be in the list. Probably second after Lotus - JohnPlayer livery (pictured here also).

I choose this McLaren MP4/5B. Too bad the car-designs got worse after this and tobacco brands were banned in many countries. But Marlboro was a very strong brand in F1, even continued for quite a while without showing the actual brand-name.

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BMW F1.08, Intel's and BMW colors really work together :P

Jordan 191. Just a clean yet iconic car.

I love the Benetton 186b

JPS Lotus (more modern Lotus livery done in the same style too)

Vodafone Chrome McLaren. So much better than the garish Chrome™ McLaren.