Here is the full list of all 32 Super Death Arena achievements.
Get a Quadra kill
Get a 15 killstreak
Get a headshot
Shoot off both arms from a zombie!
Kill the bomb zombie
Kill 100 zombies
Kill 500 zombies
Kill 1000 zombies
Reach Level 5
Reach Level 10
Reach Level 50
Reach Level 100
Open your first lootbox
Open 25 Lootboxes
Open 100 Lootboxes
Win your 1st match
Win 10 matches
Win 20 matches
Win 50 matches
Win 100 matches
Survive wave 10 with 100 HP
Survive a wave with less than 10 HP
Die from Arrow Rain
Die from Poison Gas
Die from Grenade Rain
Get stuck in a bear trap
Loooooosseeeerrr!
Pick up a Powerup
Kill a zombie with incendiary ammo
Pick up a health powerup while below 10 HP
Destroy a destructible mesh
Blow up an explosive barrel