The only actual problem I've ever read about is the extractor breaking. And that seems limited to the ultra-magnum rounds (300RUM, 338RUM, etc.)... and I've never actually met anyone it's happened to, only read about it here or at TFL.
One complaint I suppose you could make is that they don't float the barrel on most models from the factory. But that just leaves more fun for us owners, right?
I also have a .270 ADL (synthetic)... it's an exceptional rifle for the cost ($364 when new)... shoots sub-MOA all day long with handloads, if you keep the barrel cool. Factory ammo is still MOA or even sometimes slightly better. Also very, very light due to the stock and thin barrel profile. I love it!
I also have a .223 VLS (laminate) which is a superb rifle in every way except for weight. Heavy barrel and super-stiff laminate stock make it a bench-only gun - the only light thing about it is the trigger (4 lbs, factory!).
Got a chance to handle and inspect a M40A3 that had been made "on the side" by a Marine armorer. Had the 3-12x S&B scope rather than the 10x Unertl. A really amazing rifle...
At the end of the day, I've shot the 700 in everything from .223 to .300 Win Mag, and most everything in-between: .223, .22-250, .243, .25-06, .270, .30-06, .308, .300 WinMag.
I consider the 700-series rifles to be the best bolt-action platform on the market. Not to mention there are TONS of options out there, both from Remington and from custom riflemakers who build off the actions, etc.