Here is the full list of all 29 Waves of Steel achievements.
Use a custom difficulty setting
Destroy a Lockheed CL-1201 nuclear-powered airplane
Win the top prize in Score Attack (Battleship)
Win the top prize in Score Attack (Cruiser)
Win the top prize in Score Attack (Destroyer)
Kill Weaver
Destroy Níðhöggr
Destroy the Biggest Gun
Defeat the 疾風 障壁 最終兵器
Take to the skies!
Destroy the Vulcan
Achieve a speed of 150 knots or greater
Destroy the Habakkuk
Use an assist
Destroy a surface ship with anti-submarine weapons
Destroy the Apotamkin
Destroy a Super Typhoon before it can release its payload
Destroy the Flying Battleship
Create a ship that uses every single ton of displacement
Complete a mission despite taking enough damage to sink four times over
Destroy a paradropping ship before it can land
Destroy an aircraft with your main guns
In a single mission, destroy 20 ships by ramming them
Ram a Tripod
Create a destroyer that has at least 40 weapons
Complete the Midway Raceway in under 3 minutes
Complete the Cloudy Crest Circuit in under 3 minutes
Complete the stress test mission
Find every treasure