Here is the full list of all 97 Vertical Strike Endless Challenge achievements.
Defeated Wave 10 in Anti-Aircraft combat
Defeated 10 waves in Anti-Aircraft combat within 15 minutes
Defeated 15 total waves in Anti-Aircraft combat
Shoot down an enemy air unit with Fox 2
Used special armament: AAM-9
Defeated Wave 5 in Anti-Aircraft combat
Defeated 5 waves in Anti-Aircraft combat within 5 minutes
Shot down 20 enemy air units in total
Cut the limiter total 152 second
Shot down 10 enemy air units in 1 sortie
Shot down 15 enemy air units in total
Flew faster than Mach 1
Shot down 5 enemy air units in 1 sortie
Shoot down 3 enemy air units within 1 minute
Disabled angle of attack limiter.
Defeated Wave 1 in Anti-Aircraft combat
Shoot down an enemy air unit with Fox 3
Used special armament: AAM-120
Took flight with only missile-related subweapons
Engage Endless Mode (Anti-Aircraft)
Used special armament: Rb. 163
Used special armament: ATM-65
Used special armament: ARM-88
Used special armament: ASM-2
Used special armament: DWS-49
Used special armament: MK. 181
Used special armament: GAU-22
Used special armament: BK-372
Shoot down an enemy air unit with Fox 1
Fired 3 machine-guns simultaneously.
Flight time exceeds 1 hour
Shot down 100 enemy air units in total
Defeated Wave 15 in Anti-Aircraft combat
Defeated Wave 20 in Anti-Aircraft combat
Defeated Wave 1 in Anti-Ship combat
Defeated Wave 5 in Anti-Ship combat
Defeated Wave 10 in Anti-Ship combat
Defeated Wave 15 in Anti-Ship combat
Defeated Wave 20 in Anti-Ship combat
Engage Endless Mode (Anti-Ship)
Survived 15 minutes in Anti-Aircraft combat
Survived 30 minutes in Anti-Aircraft combat
Survived 15 minutes in Anti-Ship combat
Survived 30 minutes in Anti-Ship combat
Fired a fixed machine-gun until it was empty
Fly over 10,000 meters for the first time
Defeated 5 waves in Anti-Ship combat within 5 minutes
Defeated 10 waves in Anti-Ship combat within 15 minutes
Flew above Mach 2 for more than 10 seconds
Shot down 50 enemy air units in total
Shot down 150 enemy air units in total
Shot down 200 enemy air units in total
Flew while using manual flares
Defeated 20 total waves in Anti-Aircraft combat
Defeated 50 total waves in Anti-Aircraft combat
Defeated 100 total waves in Anti-Aircraft combat
Defeated 15 total waves in Anti-Ship combat
Defeated 20 total waves in Anti-Ship combat
Defeated 50 total waves in Anti-Ship combat
Defeated 100 total waves in Anti-Ship combat
Survived more than 45 minutes in Anti-Aircraft combat
Survived more than 45 cumulative minutes in Anti-Ship combat
Survived more than 60 minutes in Anti-Aircraft combat
Survived more than 60 cumulative minutes in Anti-Ship combat
Recover from stall at less than 200 meters high
Defeated 30 total waves in Anti-Aircraft and Anti-Ship combat
Defeated 50 total waves in Anti-Aircraft and Anti-Ship combat
Defeated 128 total waves in Anti-Aircraft and Anti-Ship combat
Survived more than 120 minutes in Anti-Aircraft and/or Anti-Ship combat
Took flight without a sub-weapon equipped
Took flight with only gunner-type subweapons
Took flight with only bomb-type subweapons
Took flight with only rocket-related subweapons
Took flight with only rocket, gunner, and bomb-type subweapons
Used all type of missiles assigned to Fox 1 call
Used all type of missiles assigned to Fox 2 call
Used all type of missiles assigned to Fox 3 call
Equip weapons to all weapons bays and use all at least once
Fling off a missile while disabling the AoA limiter
Sunk 15 total ships
Sunk 20 total ships
Sunk 50 total ships
Sunk 100 total ships
Congratulations! Obtained all other achievements!
Shot down 50 enemy air units with missiles
Shot down 50 enemy air units with guns or the GAU-22
Shot down 10 enemy air units with the BK-372
Shot down 10 enemies with semi-active missiles
Used all type of bombs at least once
Used all missile-type sub-weapons at least once. (Lock-on required)
Used all rocket-type sub-weapons at least once.
Used all type of machine-guns at least once
Obtained results from using all types of sub-weapons
Used special armament: NM-44
Shot down an enemy without auto aim-assist
Used special armament: ARA-72
Sunk 2 ships within 3 minutes