|As I said in your other post, Quake Live is nothing more than an updated version Quake 3 Arena (circa 1999). The system requirements are extremely low by today's standards.|
And 250FPS is an unnecessary goal to shoot for. I guarantee you will not notice any difference between 100FPS & 250FPS. Notice the GPUs listed in the recommended specs are "nVidia GeForce 7800 / AMD Radeon X1800". The integrated Radeon 7660D GPU in the AMD A10 APU listed in your 1st link beats both of them.
That being said, it would be better to get a newer A10 APU which has Radeon R7 graphics. Also, make sure to get the correct RAM. The combo lists DDR3-1600 but the memory controller in the A10-5800K supports up to DDR3-1866; the latest A10s support up to DDR3-2133.
The 2nd system you linked to has a motherboard based on an old 700-series chipset. For best performance with an AM3+ CPU, look for a board based on a 900-series chipset. Also, the CPU is rated at 125W & the GPU rated at 110W, so this will not be a low wattage system.
You really should pick & choose your own components to make sure they "compliment" each other rather than relying on a poorly configured combo package.