The [url=http://www.amazon.com/Acer-C720-Chromebook-11-6-Inch-2GB/dp/B00FNPD1VW/ref=sr_1_1?ie=UTF8&qid=1394837953&sr=8-1&keywords=c720]Acer Chromebook C720[/url] with Ubuntu installed can run Minecraft relatively well for $200.
Requires a little tinkering to install Ubuntu, but having an actual OS on the chromebook is worth it.
Can also run Counterstrike: Source at a decent framerate as well.
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Ubuntu is hard to download and besides, I have a Chromebook like that and I could not down Minecraft with Ubuntu :/