Where can I get a list of Housing "Compounds" in Riyadh,KSA with Phone Nos. and Price?

There is a booklet called Riyadh today. You can find it in Obeikan.

most of the compounds will not rent you a place unless you are an american, british, or australian...in other words white.

Our recent survey (2 days old) is yours for the asking . . . email me. The news is not good. Majority of compounds are booked solid . . . those available are pricy, SR 150,000+ and these are 2 bedroom units.

I am sure what one of the above answers mean is that they will not rent you a house unless you are a Western.....and surely he does not mean 'white' .
The best way to get the full list is through word of mouth from the international community., the bigger compounds are out of the city and tend to be fully booked by companies for their foreign employees.
There are a few other smaller compounds in the city centre with an average of 10/15 houses + swimming pool they tend to have free space more often. For these compounds try these areas:
Sulaymaniyah, Olaya (behind the Akariya shopping centres), AL-Malaz (there are a lot here as this used to be the old city centre, a few embassies are still there).

As for price, there is no guide at all (the prices often change) it depends on size of the compound, size of the house, facilities in the compound, and most of all how big is the waiting list for the houses.

What I would recommend is to get a few of the addresses and drive to them talk to the security to see of there are any empty houses and sometimes they would even let you in to walk around the compound (it doesn't work on the phone).