Barring any easter egg-like things like the fire extinguisher from Gears of War 3, this should be every execution in Gears of War: Judgement. There are 4 new weapons, and 4 new executions, which are shown at the beginning of the video. The rest appear to be recycled from Gears of War 3, but possibly cleaned up a little.
See the description below, or the weapon icon in the top right to see which weapon execution is being used.
0:00 Tripwire Crossbow (New in Judgement, Campaign only)
0:10 Breechshot (New in Judgement)
0:16 Markza (New in Judgement)
0:24 Booshka (New in Judgement)
0:29 Lancer
0:38 Chainsaw
0:44 Chainsaw from Behind
0:50 Retro Lancer
0:58 Retro Charge
1:09 Retro Charge from Behind
1:17 Hammerburst
1:24 Classic Hammerburst
1:32 Gnasher Shotgun
1:37 Sawed-Off Shotgun
1:45 Torque Bow
1:52 Digger
2:00 Boomshield
2:06 Snub Pistol / Vulcan Cannon / Grenades
2:21 Boomshot
2:29 Scorcher
2:38 Longshot
2:45 Mulcher
2:53 Mortar
3:01 One Shot
3:07 Hammer of Dawn
3:14 Cleaver (Campaign Only)
3:24 Gorgon Pistol (Campaign Only)
3:31 Boltok Pistol (Campaign Only)
3:37 Curb Stomp (Bot/AI Only)
3:43 Meat Shield Neck Snap
3:50 Bag and Tag with every Grenade
4 of the weapons currently dont appear in any multiplayer modes, so theyre exclusive to the campaign. Curiously, curb stomps can only be performed by bots. Very odd that one of Gears signature moves can only be done by AI characters.
Execution mode came back with the title update and Haven DLC map, so this became a lot easier to make. Still took a couple hours trying to find and score a cleaver execution.