Ok well i shall assume you live in the US.
The best option is to build your own (its fun, you know exactly what you are getting, more options, and its cheaper). The best places to go is http://newegg.com and http://tigerdirect.com (newegg is generally better)

well for your budget and needs is say something like this:

CPU: core i5-2500 (K version is for heavy overclocking, and is a better value if you overclock, but you said you dont really want to so)

Motherboard: any full atx socket B3 revision 1155 motherboard will do. id go for the P67 chipset.

Ram: 8gb of ddr3 (2x4gb), if you want to go above 1333 @ cl9, you will need to manually set it in the bios, like say if you got ddr3 1600 @ cl9, it will run 1333 @ cl9 unless you set it up.

Graphics: ati 6850 (smaller card) or ati 6950 (larger card, will need a full tower case or a mid tower that supports long cards). You can also go for something like the gtx560. the gtx560 is nvidia so you may be able to use CUDA while video editing. the gtx560 is small and will fit in any case.

PSU: 500-600W is enough. look for an 80+ certified antec, corsair, seasonic, silverstone, thermaltake, xfx or enermax brand.

HDD: 1tb 7200rpm 32-64mb cache hdd is good. if you want you can get a 32-64gb SSD and use it to boot windows and any games/software you want to load faster.

optical drive: any sata dvd burner will work fine.

case: antec, coolmaster, thermaltake and nzxt make really good cases. A ztx mid tower will work in most cases. the coolmaster haf 912 is a mid atx and is capable of longer graphics cards and its a cheaper case. but if you want the 6950 you will need that or a full tower.

OS: windows 7 home 64bit OEM

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