There are some straight-pull bolt actions (I.E. Schmidt-Rubin) which may be faster.
As far as the Enfield, Wikipedia states: "The current world record for aimed bolt-action fire was set in 1914 by a musketry instructor in the British Army—Sergeant Instructor Snoxall—who placed 38 rounds into a 12-inch-wide (300 mm) target at 300 yards (270 m) in one minute."
Good question. My first choice would be my SKS carbine (which the ignorant media refers to as an "assault rifle"). Still, I wouldn't hesitate to carry my No4 Mk2.
I fired my SKS on the farm yesterday. No accessories, no tacticool, not even a butt pad.
The Lee Enfield’s got some slap but not this one, I add it to my list of guns that will make me use up ammo just to enjoy firing it.
Best for comfort when shooting 5.56mm? The Israeli Golani. All steel except the buttstock.
(Need more caffeine.)