Here is the full list of all 21 Battlefield V achievements. It takes around 50-60 hours to unlock all of the achievements on Windows.
Earn 150,000 score as a Player
Complete Under No Flag War Story
Complete Nordlys War Story
Complete Tirailleur War Story
In Multiplayer, get 10 kills in a round
In Multiplayer, kill 30 enemies
In Multiplayer, build 10 fortifications in a round
In Multiplayer, fully suppress 5 enemies
In Multiplayer, have 3 squad members spawn on you
In Multiplayer, perform 10 squad revives
Complete the War Stories Under No Flag, Nordlys & Tirailleur on Medium
Complete the War Stories Under No Flag, Nordlys & Tirailleur on Hard
Complete the War Stories Under No Flag, Nordlys & Tirailleur on Hardcore
In Multiplayer, kill 10 enemies with secondary weapons in a round
In Multiplayer, capture 10 flags in Frontlines
Play a round of Conquest on each of the launch maps
In Multiplayer, destroy 5 manned stationary weapons with a Airplane
In Multiplayer, roadkill 5 enemies
In Multiplayer, as a squad leader call in 2 reinforcements in a round
Earn 100,000 score as an Assault, Medic, Support and Recon
Earn 500,000 score as a Player