Here is the full list of all 12 Hyper Jam achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
Win a 4-player match by killing every player in the final round
Stop a final round with a laser strike
Get a hammer kill on a falling opponent
Get a kill after you die
Survive 3 times in a round using the Survivor perk
Kill an enemy on full health with a single hit
Start a round with 200% health
Parry a projectile into an opponent, killing them
Win a match using a single weapon
Win a match without equipping a weapon
Deal all of the damage in a round
Survive a round without dealing damage