Here is the full list of all 70 Space Invaders Extreme achievements.
Achieve an "S" rank on Extra 5.
Achieve an "A" rank or better on Extra 5.
Achieve a "B" rank or better on Extra 5.
Achieve an "A" rank or better on Extra 2.
Achieve an "S" rank on Extra 4.
Achieve an "A" rank or better on Extra 4.
Achieve a "B" rank or better on Extra 4.
Achieve an "A" rank or better on Extra 3.
Achieve a "B" rank or better on Extra 3.
Achieve an "S" rank on stage 5-A.
Achieve an "S" rank on stage 5-D.
Achieve an "A" rank or better on stage 5-D.
Achieve a "B" rank or better on stage 5-D.
Achieve an "S" rank on stage 4-C.
Achieve an "S" rank on stage 5-C.
Achieve an "A" rank or better on stage 5-C.
Achieve a "B" rank or better on stage 5-C.
Achieve an "A" rank or better on stage 4-C.
Achieve a "B" rank or better on stage 4-C.
Achieve an "S" rank on stage 5-B.
Achieve an "A" rank or better on stage 5-B.
Achieve a "B" rank or better on stage 5-B.
Achieve an "S" rank on stage 4-B.
Score enough points and raise your level to 10.
Achieve an "S" rank on stage 2-A.
Achieve a "B" rank or better on Extra 2.
Achieve an "A" rank or better on Extra 1.
Achieve a "B" rank or better on Extra 1.
Get a Nagoya Attack bonus.
Finish Arcade Mode with rank "A".
Finish Arcade Mode with rank "B".
Achieve an "A" rank or better on stage 5-A.
Achieve an "S" rank on stage 4-A.
Achieve an "A" rank or better on stage 3-A.
Play 10 times.
Achieve an "A" rank or better on stage 4-A.
Achieve an "A" rank or better on stage 4-B.
Achieve a "B" rank or better on stage 4-B.
Destroy enough enemies and raise your Rate to 10.
Achieve an "S" rank on stage 3-B.
Achieve an "A" rank or better on stage 3-B.
Achieve a "B" rank or better on stage 3-B.
Achieve an "S" rank on stage 1-A.
Achieve an "A" rank or better on stage 1-A.
Achieve a "B" rank or better on stage 5-A.
Activate all features in the game.
Achieve a "B" rank or better on stage 4-A.
Activate all lamps during one game.
Achieve a "B" rank or better on stage 3-A.
Destroy 10 enemies of the same shape and achieve the Same Shape bonus.
Achieve an "A" rank or better on stage 2-A.
Achieve a "B" rank or better on stage 2-A.
Achieve a "B" rank or better on stage 1-A.
Get a Rainbow Bonus.
Destroy a row of enemies and achieve the Row Bonus.
Score enough points and raise your level by 1.
Destroy 10 enemies of the same colour and achieve the Same Colour bonus.
Destroy enough enemies and raise your Rate by 1.
Destroy a complete column of enemies and achieve the Column Bonus.
Achieve an "S" rank on stage 3-A.
Achieve an "S" rank on Extra 1.
Achieve an "S" rank on Extra 2.
Achieve an "S" rank on Extra 3.
Finish Arcade Mode with rank "S".
Finish Arcade Mode without dying.
Finish Arcade Mode having achieved over 30 Fevers.
Finish Arcade Mode without missing a single shot.
Play 1000 times.
Play 10000 times.
Finish Arcade Mode 100 times.