I've got a few remington 700s, a couple ruger 77 hawkeyes, a winchester 79 featherweight, and a tikka t3 lite. Hands down, the most accurate out of the box rifle I have is the tikka. I've come up with tons and tons of different handloads to try in the Remington's and Rugers (haven't handloaded for the winchester yet) before finding one that was decent enough for hunting. Handloading for the tikka was almost as simple as deciding what bullet I wanted to shoot and at what velocity and I was done. I don't think it's ever shot a group larger than 1.5" with anything and that's not the case with the others. The tikka is the lightest by far also! Now I'm not saying I don't like my other rifles. The 700 is one of my favorite platforms and is extremely popular for building custom rifles off of and has hundreds if notthousands of aftermarket accessories to support it. Here is how my tikka shoots...
3 shots In the white after adjustment
5 shot group with the farthest shot which I pulled and the middle shot was first cold bore shot. Other hole is 3 shots
Got to a gun store,look at all the different rifles you are interested in, and go with the one that feels the best to you. It's hard to go wrong with just about anything these days. Practice a lot!