PCPartPicker part list:
http://pcpartpicker.com/p/q9aS
Price breakdown by merchant: http://pcpartpicker.com/p/q9aS/by_merchant/
Benchmarks: http://pcpartpicker.com/p/q9aS/benchmarks/
CPU: AMD A4-5300 3.4GHz Dual-Core Processor ($64.99 @ Newegg)
Motherboard: MSI FM2-A55M-E33 Micro ATX FM2 Motherboard ($56.97 @ Newegg)
Memory: Crucial Ballistix 4GB (2 x 2GB) DDR3-1866 Memory ($21.99 @ Newegg)
Storage: Seagate Barracuda 500GB 3.5" 7200RPM Internal Hard Drive ($64.99 @ Newegg)
Case: Silverstone ML03B HTPC Case ($75.98 @ Newegg)
Power Supply: Corsair Builder 430W 80 PLUS Bronze Certified ATX12V Power Supply ($35.99 @ Newegg)
Optical Drive: Lite-On IHBS112-04 Blu-Ray/DVD/CD Writer ($59.99 @ Newegg)
Total: $380.90
(Prices include shipping, taxes, and discounts when available.)
With a corsair cx 430w.
The other build will be fine too, but if he has doubts seeded by someone...the psu will not blow...in either the two builds.