The first thing I look for in a gun is reliability, when I pull the trigger will it go bang? The Mini-14, with factory mags is an extremely reliable rifle. In over a couple thousand rounds mine has misfed... one time, and that was due to a broken spring in my magazine. I have shot several AR's which included one DPMS, one Colt and one Bushmaster. All jammed at least once, but in their defense we were shooting a lot of rounds through them on each occasion, and they had gotten quite dirty. From my experiences AR's don't have the reliability I desire, and I prefer reliability over accuracy and aesthetics.
The accuracy of my stainless (3 years old now) model out of the box was around 3-4 moa at 100 yards, not very impressive. After several outings with it, and some disappointment, I decided to look into accurizing it. I settled on a company called Accuracy Systems, I contacted them and sent it in.
I settled on these options:
24" by 1" bull barrel machined down to .900" past the gas block
New, heavier gas block
2 lb. two stage trigger with no creep
Steel bedding
Flush mounted brake
Heavier spring for bolt
It was pricey and the gun is quite a bit heavier, but I got exactly what I wanted. A
reliable semi-auto, that puts up 1/4" groups at 100 yards. And as an added bonus, I have noticed that it's a real head turner at the range.

Carl at Accuracy Systems has cheaper alternatives that will get you down to around 1 1/2 MOA at 100 yards, and still keep you within or around your 1000.00 dollar budget. That's assuming that Mini 14's can still be had for less than 800.00.