Graham, those "ground rules" are so restrictive that possibly the only thing that would literally meet them would be one of the all-in-one CD/Radios, such as the Cambridge Soundworks unit which Alan mentioned. Just a bit of complication would be involved with a pair of M3s, plus a CD player for around $100 and a stereo receiver(simple enough)for around $200 to stack on top of it.

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Enjoy the music, not the equipment.