Suggestions on what requirements for a PC I would need for my daughter to play skyrim and wow on?

My daughter (9 years old) wants a computer for xmas to play games on. So far she's mentioned skyrim, wow, and minecraft. I know nothing about computers so any suggestions on what this computer would need to have would be great. Trying to spend less than $500

Find an "APU" desktop. Typically the processor will be A8-**** or A10-****. The processors are built with better integrated video cards than any other kind.

Many machines can play the games, the failing point on most is the Video Graphics dedicated memory.
You Do need a machine that meets these requirements for Skyrim.
Recommended
•Windows 7/Vista/XP PC (32 or 64 bit)
•Quad-core Intel or AMD CPU processor
•4GB System RAM
•6GB free HDD (Hard disk drive) space
•DirectX 9.0c compatible NVIDIA or AMD ATI video card with 1GB of RAM: Nvidia GeForce GTX 260 or higher; ATI Radeon HD 4890 or higher
•DirectX compatible sound card
•Internet access for Steam activation
Minimum System Requirements
•Windows 7/Vista/XP PC (32 or 64 bit)
•Processor: Intel Dual Core 2.0GHz or equivalent processor (AMD Sempron @ 2.4 GHz)
•2GB System RAM
•6GB free HDD space
•Direct X 9.0c compliant video card with 512 MB of RAM
•DirectX compatible sound card
•Internet access for Steam activation