Here is the full list of all 30 Fishing: Barents Sea achievements.
Catch 1,000 tons Mackerel
Catch 100 tons Mackerel
Found port of Snefjord
Catch 100 tons Red Fish
Catch 100 tons Haddock
Found Trawling Area
Catch 100 tons Pollack
Catch 100 tons Cod
Unlocked Hermes
Found port of Tufjord
Catch 10,000 kg Cod
Catch 100 kg Cod
Catch 1,000 kg Cod
Unlocked Lunar Bow
Found port of Forsøl
Unlocked Vibeke Cathrin
Catch 10,000 kg Red Fish
Found port of Akkarfjord
Catch 10,000 kg Haddock
Catch 10,000 kg Pollack
Catch 1,000 kg Red Fish
Unlocked Sjarken
Catch 1,000 kg Haddock
Catch 100 kg Pollack
Catch 1,000 kg Pollack
Catch 100 kg Haddock
Catch 100 kg Redfish
Found port of Rypefjord
Found port of Hammefest Centrum
Have a fish on your boat.