I recently built a new Computer for somewhere around this price, but i Recycled my old monitor. Mine was a bit over $1000, but i'll try my best to find a cheaper build for you.
AMD Phenom II X4 940- $145 @ Newegg
BIOSTAR TA790GXE 128M AM2+/AM3 AMD Motherboard $100@Newegg
Corsair 750TX Power Supply $130@Newegg (The Modular version, the 750HX is $150, worth it if you have a mid-tower case)
Hitachi Deskstar 1TB HDD 7200 RPM HDD $89.99@ Newegg (Offer Ends 2/28)
PNY geforce 9800 Video Card $109.99@newegg
Viewsonic Value Series VA2223wm 21.5" $159.99@Newegg (Built in Speakers)
Newegg.com - LG Black 24X DVD+R 8X DVD+RW 16X DVD+R DL 24X DVD-R 6X DVD-RW 12X DVD-RAM 16X DVD-ROM 48X CD-R 32X CD-RW 48X CD-ROM SATA DVD Burner - Bulk - CD / DVD Burners Rly long name theres the link- $27.99@newegg
Cooler Master HAF 932 Full Tower- 139.99@Newegg
Windows 7 Home Premium OEM- $105@Newegg
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Total=$1008 (oopsies, $8 Over) Well that didn't work out... So how about replacing that Full Tower with say...
Apevia X-Plorer Midtower-$60 With Blue LEDS, and a built in Fan Controller+Temp Display
now the price is down to... $928 Too low?
Windows 7 Pro OEM, $150
Final price: $973
It's definitely worth the extra money for the Pro OEM, with XP mode and a bunch more, spend the money!
Hope i helped
-Bio