Savage, Tikka, CZ.
I have 3 Savages and a CZ. All are excellent, well made rifles. The CZ is slightly better made with a beautiful walnut stock, but took a bit more work to get the best groups out of. Torque specs on both the action screws and the barrel were incorrect from the factory. After correcting both the groups sizes tightened up nicely. It's also more finicky on ammo.
My savage centerfires (.223 and 6.5 CM) are both sub 1/3 MOA guns for 5 shot groups with match grade hand-loads. The 6.5 is new, i expect sub 1/4 MOA when i'm done tweaking it.
I think the modern 700s are hit or miss. A good friend of mine spent close to 25 years behind a 700, most of those as a swat sniper using a 20" LTR. He was a die hard Remington guy, and he will not touch the current production 700s. I've seen some that are 1/3 MOA guns, and some that can't shoot MOA. Personally i won't take the risk.
As for Mossberg...no thanks. Maybe some people have MVPs that shoot, or have been able to figure out how to make them shoot, but on the whole they're not known for accuracy or build quality, and for me that's priority # 1. I don't know if they're making or sourcing their barrels, but i just don't trust that they're up to the level of the three mentioned above.
Anything that isn't sub-MOA (with the exception of a fighting carbine with no magnification and bulk ammo) is just boring. If the plan is a red dot or irons and cheap ammo, the MVP is probably a decent choice.