Here is the full list of all 15 Worms World Party Remastered achievements.
Damage an enemy worm with both arrows from the Longbow
Damage two enemy worms at the same time with the Mine
Complete all of the single player missions
Set a time for each of the single player training missions
Achieve Elite status in single player deathmatch
Play an online multiplayer game with the ‘high damage firearms’ worm pot mode enabled
Kill two enemy worms at the same time with the Napalm Strike
Complete a Ranked BnG match
Win any match by killing the last enemy worm with the Prod
Damage enemy worms with the Homing Pigeon and Homing Missile in the same match
Drown 100 enemy worms
Kill an enemy worm with the Banana Bomb
Kill 1 worm with the Shotgun and 1 worm with the Uzi
Kill an enemy worm with the Holy Hand Grenade
Win an online multiplayer match with the Artillery setting enabled