I owned and shot a Romanian SAR-1 for years, and greatly enjoyed it. I'd suggest the following:
(1) Get a decent optic. In my experience, the single greatest thing you can do to make a typical AK more accurate is to improve the sighting system, particularly on a 16" barreled model. The very short sight radius is a handicap for most of us if your goal is precision, and it is an easy rifle to shoot badly. In my opinion, the average shooter will shoot better with a WASR and Aimpoint/Primary Arms dot than he/she will with an Arsenal and iron sights. The smaller the dot, the better.
I put a Kobra (Russian red dot) on mine, but if I had it to do over again, I'd go with a quality American made red dot on a siderail adapter or an Ultimak rail, for durability reasons; the Kobra internals are delicate.
(2) Don't bother with folding stocks, unless you get one of the nice sidefolders that acts as a regular stock when fully extended. I experimented with a wire sidefolder for a while, and shot USPSA-style carbine matches with both the standard stock and the folder; the lack of cheek weld on the folder made it abysmally slow to acquire the sights.
(3) If you are interested in accuracy, get a 5.45x39mm. Mine was a 7.62x39mm and shot OK, but the 5.45's tend to be more accurate. If you do get a 7.62x39mm, ditch the slant brake and get something symmetrical (whether a brake or a flash suppressor, or just put a muzzle nut on it). IIRC, Small Arms Review did a test in which the slant brake was shown to roughly double group size; I would assume that the reason is induced bullet nutation due to the asymmetric gas flow at muzzle exit. Symmetrical brakes work better, anyway.
(4) If you are interested in accuracy, focus primarily on barrel quality, not stamped vs. forged. The reason milled guns tend to be more accurate is that they sit at the high end of the market, and hence tend to come with very good barrels. A stamped-receiver rifle with the same barrel will shoot as well and will be much lighter. Fit and finish on milled guns is awesome compared to a WASR, but you pay for it in weight.
(5) Learn to run it. Reloading and cycling an AK is IMO best done with the support hand, not the firing hand. When benchresting, support it as far back as possible to minimize jumping. Focus hard on the fundamentals (sight picture, trigger squeeze); AK's are not nearly as inaccurate as the Internet seems to think they are, but you have to do your part. Too often, people jerk or slap the trigger, shoot from a lousy sight picture or an unbraced position, etc. and then blame the rifle for being inaccurate.
(6) It is not magically reliable; lubricate it, and keep it buttoned up whenever there is a chance that crap can get into the receiver. The Russian AK manual says keep the dern thing lubricated, especially in dusty or adverse conditions, keep the ejection port cover closed, and keep a magazine in. Just because the Internet says you can bury one in sand for 40 years, then pull it out of the ground and it will run perfectly, doesn't mean they like to run dry or full of crud. Lubrication will keep the residue from gas that vents into the receiver (and they do vent plenty) from turning to carbon cement, and will help keep crud and debris mobile.