If you look around, you can find an Enfield for only a bit more than a Mosin.
"Less than excellent?" "Less refined?" Compared to a surplus Mosin Carbine?
Whatever. I happen to be fond of both, but this just isn't how I or anyone else who has ever lined a bunch of them up on a table would put it.
The Mosin is a brutal block of steel, made by monkeys. The action requires brute force to operate, and the safety is downright funny, since you have to wrestle with the full force of the striker spring to engage it! In return, though, you get a rifle that shoots well come hell or high water. It will fire. And it will feed, if you give it enough muscle. Hell, I was afraid I'd break one of mine the first time I used it; people here said that was normal and it won't hurt the action.
The Enfield is a precision piece of machinery, made by anal-retentive Brits in navy blue and khaki. It is an old-school military battle rifle, though, made as a bayonet platform as well as a rifle, so it's plenty durable. The safety is a quick thumb flip, the action works FAST with no undue effort, and the gun is just a nice piece.
I wouldn't get a real JC because they're known for accuracy problems (actually a "wandering zero", meaning that they might group fine but somewhere other than where they were sighted in). Leave the genuine Mk5 JC to collectors. They don't shoot it, either. The rifles are shooters, though.
A replica JC, though, has some appeal. See
http://www.e-gunparts.com/ and search for Jungle Carbine. Get an ugly No4Mk1 surplus rifle that's too beat-looking, with a trashed stock and surface rust, to have real collector value, and turn it into a JC clone. It won't have the wandering zero, because you will leave the receiver alone. Effectively, you will be sporterizing it but keeping the spirit of the military Enfield alive. Re-blue it.
Or just shoot the Enfield rifle as-is. The deer/pigs/whatever won't know whether they were shot with a fullstock gun or a halfstock gun.
Or get a Mosin M-38, but be advised that accuracy won't be all that great. They were made in wartime, by the millions, for a massive army that won by sheer numbers, not by being skilled riflemen. There are a bunch of numbers-matching M-38s coming into the US again. Get a numbers-matching one with a nice tight bolt that doesn't lift up when you press down on the handle.
Don't get an M-44 unless you plan to do some work sporterizing it. They don't shoot straight with the bayonet folded; some bayonets are very hard to remove, and with the bayonet they're heavy beasts.
The Mosin rifles (91/30) shoot best, but they're LOOOOOONG.
One way or another, the 7.62x54R may be a powerful round, but the range limitations of the Mosin Carbine render that pretty moot, unless you're thinking of hunting bigger-than-deer game at closer ranges.
I love Mosins. And Enfields.
