Here is the full list of all 36 Vector Strain achievements.
Complete the game with the "Avatar" ship
Finish the game without using any continues on "Hardcore" difficulty
Complete the game with the "Vector" ship
Get a 100 000 000 score
Beat the game without loosing any ship
Gather 200 Stars
Complete STAGE 5 on "Hardcore" difficulty
Complete STAGE 4 on "Hardcore" difficulty
Complete STAGE 5 on "Standard" difficulty
Finish the game without using any continues on "Standard" difficulty
Complete STAGE 4 on "Standard" difficulty
Get a 50 000 000 score
Complete all stages with a 5 star rating
Finish the game without using any continues on "Beginner" difficulty
Unlock the "Avatar" ship by finishing the game without using any continues on any difficulty
Complete the game with the "Oblivion" ship
Unlock the "Oblivion" ship by collecting 120 stars
Gather 100 stars
Complete the game with the "Predator" ship
Gather 50 stars
Complete STAGE 5 on "Beginner" difficulty
Complete the game with the "Raptor" ship
Complete STAGE 4 on "Beginner" difficulty
Get a 20 000 000 score
Complete STAGE 3 on "Hardcore" difficulty
Complete STAGE 2 on "Hardcore" difficulty
Complete STAGE 1 on "Hardcore" difficulty
Complete STAGE 3 on "Beginner" difficulty
Complete STAGE 3 on "Standard" difficulty
"Complete STAGE 2 on "Beginner" difficulty
Complete STAGE 2 on "Standard" difficulty
Get a 10 000 000 score
Complete STAGE 1 on "Beginner" difficulty
Complete STAGE 1 on "Standard" difficulty
Complete any stage without using the shield
Get a 5 000 000 score