Here is the full list of all 47 PRO FISHING SIMULATOR achievements.
Catch 1 fish
Catch 50 fish
Catch 100 fish
Catch 500 fish
Catch 1000 fish
Earn 1 star
Earn 10 stars
Earn 20 stars
Earn 30 stars
Earn 50 stars
Catch at least one of each species in Germany
Catch at least one of each species in Vermont
Catch at least one of each species in England
Catch at least one of each species in Arizona
Catch at least one of each species in Japan
Catch at least one of each species in Florida
Catch at least one of each species in Corsica
Catch at least one of each species in China
Catch at least one of each species in the Seychelles
Catch at least one of each species in the game
Catch Alex the Great, the zander, in Germany
Catch Memphre the muskellunge in Vermont
Catch Big Mike the pike in England
Catch Shogun the coho salmon in Japan
Catch Chuck the channel catfish in Florida
Catch Little Joe the pikeminnow in Arizona
Catch Mazzeri the amberjack in Corsica
Catch Caong the Mekong giant catfish in China
Catch Nommo the giant grouper in the Seychelles
Catch a fish that weighs at least 20 kg
Have at least 5,000 coins
Break the line 10 times while landing a fish
Catch fish totalling at least 80 meters in length
Catch 10 trout
Catch 10 bass
Catch 10 carp
Catch 10 catfish
Catch 50 trout
Catch 50 bass
Catch 50 carp
Catch 50 catfish
Catch 10 fish by fly fishing
Catch 10 fish by float fishing
Catch 10 fish by lure fishing
Catch 50 fish by fly fishing
Catch 50 fish by float fishing
Catch 50 fish with lure fishing