I have a few Remington's, it just seems that the quality control is set on "good enough". My current models can shoot, but it took a little bit to get them where I wanted.
Best bet is to get over to Cabelas or other box store and see for yourself. Cycle the bolt, drop the floor plate. Feel the trigger and look at the details. As for a out of the box accurate hunting rifle, the Tikka T3 is a darn nice rifle. Smooth bolt, Sako barrel, crisp trigger and not too expensive.
However, my last purchase was a Winchester model 70 Featherweight, that is one nice rifle. Control Round Feed, steel floorplate, feeds and extracts without issue. It is a fine looking and shooting rifle, It will definitely be one I pass down to my kids.
Edit: My 700 BDL from the early 90's is and has always been excellent, smooth bolt and great craftsmanship. Just wish they still made them like that.
My biggest complaint of the current production is the generous headspace. Both of my current M700 308's will close on a no-go guage.