Here is the full list of all 59 Verdun achievements.
Make 500 melee kills
Gain 50k co-op XP with a player
Reach 10,000 kills
Receive all gold medals
Receive a total of 100 gold medals
Make 100 melee kills
Gain 10k co-op XP with a player
Receive a total of 100 bronze medals
Make 1,000 headshots
Receive the gold medal "10+ kills/No deaths" 10 times
Reach personal level 75
Receive the gold medal "Most kills" 10 times
Reach 5,000 kills
Receive the gold medal "Best advancing squad" 10 times
Receive the gold medal "Most headshots" 10 times
Receive the gold medal "Most headshots & only headshots" 10 times
Unlock all specializations for the ANZACs
Unlock all specializations for the Tirailleurs
Receive the gold medal "Best squad of match" 10 times
Receive a total of 100 silver medals
Receive the gold medal "Best player" 10 times
Receive the gold medal "Best defence squad" 10 times
Unlock all specializations for the Stoßtrupp
Unlock all specializations for the Schutzen
Unlock all specializations for the Highlanders
Unlock all specializations for the Tommies
Unlock all specializations for the Pioniere
Unlock all specializations for the Landsers
Reach personal level 50
Unlock all specializations for the Marines
Unlock all specializations for the Chasseurs
Unlock all specializations for the Poilus
Make a triple kill with explosives/grenades
Unlock all specializations for the Doughboys
Unlock all specializations for the Alpenjäger
Unlock all specializations for the Canadians
Unlock all specializations for the Belgians
Kill an enemy player while you are dead
Check out the credits screen
Reach personal level 25
Reach 500 kills
Make 10 melee kills
Make 100 headshots
Join a friend
Kill an enemy from over 100 meters
Kill 10 enemies as a squad NCO in 1 match
Reach personal level 100
Gain 100k co-op XP with a player
Gain 250k co-op XP with a player
Play together with the same friend 50 times
Play together with the same friend 100 times
Play together with the same friend 250 times
Receive all gold medals 10x
Receive all silver medals
Receive all silver medals 10x
Receive the gold medal "Longest killstreak" 10 times
Receive the gold medal "Best Kill/Death ratio over 10 kills" 10 times
Receive the gold medal "Most shots & none missed" 10 times
Make 5,000 headshots