While I would consider it more of a semi-custom, my Cooper is exceptionally accurate, and has performed flawlessly, going on 10 years of hard use.
In factory class rifles, which I used for factory class competition for several years, I have been very impressed by the Remington Mil-Spec rifles. These rifles have traditionally been 'off catalog" and offered by a limited number of dealers. Not sure if this is still the case, but Remington used M24 stock to produce these rifles. They all have stainless barreled action/HSP stock with very good fit and finish, appearing to get an extra measure of attention over the standard production tiles. Out of the box accuracy with four rifles I have owned, and about a half dozen others owned by buddies produced sub- .5MOA accuracy, and would maintain this accuracy level to+2000 rounds of high-volume, hot summer shooting. Bore-scoped barrels look more like my custom barrels, maintaining accuracy for +200 rounds and cleaning up with minimal effort. IMO, these rifles are a bargain at selling for $800-$1100. They hold their own to my full customs costing 2-3X the price. My most recent purchase, a 300WM which I decided to give a try for a LR hunter, has performed equally as well and is currently showing no change in performance or barrel/throat wear at five years/700 rounds of shooting. An added benefit is that one can take advantage of the myriad of accessories and upgrades available for the Remington 700.