Not really sure what you mean by core budget PC. That is basically what you have here. Maximum savings always puts you in a corner with no upgrade path.
H81 board would save a little over the Z97 Anniversary, Might be able to squeeze in an i5.
I made this one at the same time the other day while waiting for more details. an AMD alternative. Not something I would go for with the budget at hand.
PCPartPicker part list:
http://uk.pcpartpicker.com/p/ngXhBm
Price breakdown by merchant: http://uk.pcpartpicker.com/p/ngXhBm/by_merchant/
CPU: AMD Athlon X4 760K 3.8GHz Quad-Core Processor (£54.52 @ CCL Computers)
Motherboard: Asus A78M-E Micro ATX FM2+ Motherboard (£43.68 @ Amazon UK)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory (£68.35 @ Amazon UK)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive (£35.94 @ Aria PC)
Video Card: Asus Radeon R7 260X 2GB Video Card (£103.99 @ Amazon UK)
Case: Silverstone PS08W MicroATX Mid Tower Case (£38.59 @ Overclockers.co.uk)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply (£44.84 @ Amazon UK)
Total: £389.91
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-12-02 18:12 GMT+0000