Here is the full list of all 30 Bomber Crew achievements. It takes around 25-30 hours to unlock all of the achievements on Windows.
Destroy 200 enemy targets
Complete the final mission
Use 'focus' on all 4 gunner stations at once
Complete a mission and land at the airbase with less than 5% fuel remaining
Land at the airbase with only one working engine
Defeat all Enemy Aces (in one campaign)
Complete a mission and land at the airbase with 2 or fewer crew members surviving
Bail out your entire crew
Destroy a target using the Grand Slam bomb
Shoot down a V1 Rocket
Fully level up a crew member
Fully level up a crew member in two skills
Defeat 4 Enemy Aces (in one campaign)
Fly 40 missions
Have one of your crew survive 30 missions
Destroy 250 enemy fighters
Fly 25 missions
Defeat an Enemy Ace
Destroy 20 enemy targets
Complete 7 missions with the same 7 crew surviving
Fly 10 missions
Sink 5 Submarines
Encounter an Enemy Ace
Destroy 50 enemy fighters
Complete a successful mission with all 7 crew surviving
Return to the airbase having successfully bombed all targets
Destroy an enemy target
Repair an engine mid-flight
Take a photo of an intel site
Complete the first mission