Remington SPS Tactical. In .223 or .308, shoots sub-MOA with WOLF FMJ. With 175-grain Noslers, 40yr-old Indian brass, 30yr-old US surplus powder, and plain-Jane Remington primers, this rifle will shoot less than 1/3MOA (ie cut the same hole at 300yds). Be sure to break the barrel in properly, though, or else you'll be stuck with an FN PBR-level shooter, and the SPS Tactical is capable of MUCH better. $600-$750
Stevens 200 series are great for the money, and some come with scopes from the factory. Savage actions and barrels (though sadly no Accu-Trigger), so very accurate. $300-450
SKSs and AKs are always a good bet, but don't look for a new AR in your price-range unless it's a DPMS Sportical. A 20" Saiga in .223 would be a very nice setup, and the Saigas are capable of around 1MOA for less than $500.
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