So my gaming group has a pretty good policy of rotating GMs and each person has their own favorite system or two, so we get good variety (typically Shadowrun 5e, Dark Heresy WH40k, Edge of the Empire, and L5R)... After a particularly long bout of other systems, we came back to Star Wars, probably due to the trailer for Ep. 7...
So it's been at least 4 months since our last Edge game, and the rules had kinda fogged over in my mind, but heck, I love Star Wars too much to not GM. In particular, I forgot what happens when you exceed Wound Threshold.
So I'll set the scene. The players are on Nar Shaddaa, deep in the underbelly of a factory district, when they got attacked by a sizable group of feral droids (lots of minions), along with a hulking load-lifter that had improvised a shield / jagged slashing weapon from a large piece of twisted durasteel. The minions were getting chopped up left and right, but the players were wearing down by the time they mopped the floor.
Except for the lifter, who had only taken chip damage from the technician's poor shooting. The fight wore on for a little bit, and then the melee Gand rolls a couple advantage. I asked how he wanted to narrate it, and he's generally a quieter guy, but this time, he jumps at the opportunity. "I want to take a Boost die as I climb up on his back. I want to try cutting off its head with my vibroknife" FATE taught me to say yes A LOT, so he got it.
Next player swings with a vibrosword and it went over its Wound Threshold. "That inflicts a critical... and it's not down until a 151+ crit, right?" My mind went blank, so I rolled with it. He got Hamstrung, and narrated a slide between it's legs and hacking at the motors from underneath. It tried and failed to throw the Gand off, and the players were up.
The guy with the vibrosword hits it again. It's At the Brink, so I narrate how it falls it its knees, fumbling at the Gand on its back. The technician gets another critical - Compromised. This is narrated (not necessarily appropriately, but in a cool fashion nonetheless) as the front armor getting blown off. Then the Gand strikes, getting a very low roll of Scattered Senses - obviously, he rolls with stabbing it in the face for narrative.
At this point, I offered to let the players just narrate the rest of the kill, but they quickly shot the idea down, saying they were having a lot of fun. The crit-fest went on for another round before the Gand get a critical resulting in death, and dragged his vibroknife through the chest of the droid from stomach to neck, then rode the metal beast down to the ground.
Everyone was grinning with the satisfying kill. "That was like a quick-time event to kill a boss in a video game..." the technician said. Funny, all I could think of was the boss finishers in The Force Unleashed...
TL;DR - My players went for three rounds of criticals again and again and had a blast narrating it. All I did was call rerolls on some unfitting results like Fearsome Wound and another Hamstrung, and they narrated the best finish we've got out of Edge.
I later found out my ruling mistake, but hey - it worked out. This may be a new policy for long-term enemies that they finally get the satisfaction of killing...