M-N's...
Shinbone--If you want a centerfire rifle @ a cheap price, the M-N will fill that bill nicely. Accuracy is catch-as-catch-can. The rifle was made for illiterate conscripts to sling volumes of lead with, and not break down no matter how badly mistreated. If one was found to be notably accurate, it was often fitted with a 'scope (one we would call "crude," today) and assigned to a sniper, but that was a hit-and-miss process; the Russians never deliberately made specially accurate Mosins.
Mebbe your friend found one that is accurate--by his definition. That does not guarantee that the one you buy will be equally accurate: His was probably the exception. (Or, he has a very loose definition of "accurate.")
If I were looking for a centerfire rifle I would call accurate, I would look elsewhere. In C&R rifles, I think I'd look at Mausers, although they will all be pricier than the Mosins nowadays. And we are still talking accuracy only in the military sense. A serious target rifle (which would cost several times as much, of course) could shoot rings around a military Mauser, and double rings around a common Mosin-Nagant.
Good luck in your search. I hope you find a rifle that pleases you. Suggestion: The more research you do before buying a rifle--especially a C&R rifle--the happier you will be after the purchase.
www.surplusrifle.com has a ton of info on a wide variety of C&R rifles.