Core2Duo 1.6GHz 15" 1024x768
Need wi-fi card replaced easy on the back of the laptop with this one.- Atheros AR5BXB63
Can be found very cheap on e-bay.

Celeron 1.6GHz 15" 1280x800
Fully supported

ACER Aspire One
Atom N270 1.6 GHz - 8.9" TFT 1024x600

Fully supported models are ACER Aspire One A110, A150 and ZG5.  

Hardware to run AspireOS.

This is the kind of USB wireless network card you would need if your network hardware is not supported by AspireOS.
It can be found on e-bay Click Here.

It is also possible to use USB Eternet card based on dm9601 chip.

Click link under for more hardware AROS supports: