Sebastian Moran does not have any recorded records to his name, but claims to be very close to or on par with several. These all are listed at the Sniper Wikipedia pages
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[here]British Army CoH Craig Harrison of the Household Cavalry successfully engaged two Taliban machine gunners south of Musa Qala in Helmand Province in Afghanistan in November 2009 at a range of 2,475 m (2,707 yd), using a L115A3 Long Range Rifle rifle chambered in .338 Lapua Magnum. These are the longest recorded and confirmed sniper kills in history.
Corporal Matt Hughes, of the Royal Marines, had to make a 860 metres (2,822 ft) shot in very high winds by aiming over 56 feet (17 m) to the left of the enemy in 2007.
U.S. Navy Chief Chris Kyle of SEAL Team Three has 255 kills, 160 of which are officially confirmed by the Pentagon, during four deployments to Iraq between 2003 and 2009. Kyle, now retired, is the deadliest marksman in US military history. During the Second Battle of Fallujah alone, when US Marines fought running battles in the streets with several thousand insurgents, he killed 40 people. For his deadly track record as a marksman during his deployment to Ramadi, the insurgents named him 'Al-Shaitan Ramad' - the Devil of Rahmadi - and put a $20,000 bounty on his head. His most legendary shot came outside Sadr City in 2008 when he shot an insurgent with a rocket launcher near an Army convoy with his .338 Lapua Magnum rifle at 1,920 m (2,100 yd).
Cracked Article: 5 Most Impossible Sniper shots