Mounting a scope on a Lee-Enfield is not a lot of fun. I'm not saying it cannot be done (I have an Aussie Lithgow NoIMkIII* so configured), but it's definitely easier on a Mauser. The front-locking Mauser bolt is considerably stronger than the rear-locking Lee-Enfield, too. Leave the Lee-Enfield to low-pressure rimmed rounds, and you're good to go. Boost the working pressures up to .308 Winchester or so, and you're left working with a higher grade of steel (ala' the Ishapore .308 Enfields) rather than a garden-variety WWI NoIMkIII or WWII No4Mk1. There are No4Mk1(T) style British sniper conversions out there in .308 Win/7.62mm NATO, but they're the exception, rather than the rule.
That's just me though,
Mr. Gewehr98.
I'd also go on record to say that of all my military toys, the bone-stock No5Mk1 Jungle Carbine is one of the easiest to just grab and head out to the deer woods. That's a regular, military-issue rifle that requires no "sporterizing" to put venison on the table. It's fast-handling, packs plenty of wallop with a 174-180gr handload, and is slicker than snot on a brass doorknob to load, chamber, and fire up to 10 times, with or without 2 each 5-round stripper clips. The only other military rifle I have that approaches it is an 1895 Dutch (Steyr) Mannlicher Cavalry Carbine in 6.5x53R.