Check the headspace and slug the barrel. Thousands of No. 4's have been assembled out of parts bins with zero QC. Lee-Enfields barrels can measure between .311" and .315" and still be considered to be ok. Over .315", the barrel is shot out. Most factory ammo uses .311" or .312" bullets.
"...managable recoil..." The narrow butt stock on Lee-Enfields pounds me with any ammo. Still shot 'Expert' with a No. 4 using poor issue ammo. Goes away with a jacket. The 1944 vintage ammo we got, at one time, was far better than the IVI we got later. Oh, and there are several bayonets(9, as I recall) for a No. 4 Rifle. Go here for good info on the rifle and its accessories.
http://www.enfieldrifles.ca/main.htm
And here.
http://www.303british.com/
"...what others..." All of 'em. As daft as it sounds. Milsurp battle rifles are highly addictive. You get to play with a wee bit of history.
Every battle rifle has its own characteristics and quirks, but they're all far more interesting to shoot than any commercial hunting rifle(no slick accessories for any commercial hunting rifle.) It's about shooting the rifle, not the cartridge. Mind you, they're not exactly inexpensive to shoot, unless you're reloading. Not much milsurp left for any of 'em any more.
An M1 Rifle is virtually felt recoil free due to the gas operation. No battle rifle I've ever fired is quite like an M1. There's just something about 'em that no other rifle has.
Jump the hoops, shoot the matches and look at the CMP for an M1. Start here.
http://www.thecmp.org/eligibility.htm
Have a 1903A4 Springfield that's comfortable to shoot too. Nice wide butt stock. The CMP might get some 1903s/A3's next year.
Mausers come in hordes of variants. Swedish M96 Mausers, in 6.5 x 55, are known to be very accurate and comfortable to shoot. The 6.5 is a great all 'round hunting cartridge too.
Mosin-Nagants have several variations too. They're usually very inexpensive. Well under $200 for one in decent condition. The M44 carbines have considerable recoil and muzzle blast though.
Go here and rummage around. Good info on a whole bunch of milsurps.
http://www.surplusrifle.com/index.asp