Here is the full list of all 20 Deadliest Catch: Alaskan Storm achievements worth 1,000 gamerscore.
Completed a Multiplayer Game with the Maximum number of Boats
Viewed all Videos in the Virtual Tour
Fully Upgraded a Boat
Completed a Season with all Crew Members having very High Morale
Sold a Total of $1,000,000 in Crab
Dropped 50 pots in a Season
Beat all Missions
Beat all Coast Guard Missions
Beat the High Seas Rush Mission in under 2 Minutes
Won a Gold Medal in all Harbor Dash Missions
Finished a Crowded Harbor Mission without any Collisions
Has used each Fisherman
Completed 5 King Seasons in a single career
Completed 3 King Seasons in a single career
Completed One King Season
Brought up a full pot of Crab
Spotted a Whale
Spotted the Shipwreck
Unlocked Season Mode
Rescued another Ship at Sea