Here is the full list of all 15 Raiden Legacy - there are Steam Edition achievements.
Complete the Arcade Mode of Raiden
Use more than 500 bombs (across all games)
Score 10,000,000 pts in any Raiden Fighters game
Die more than 150 times (across all games)
Complete the Arcade Mode of Raiden Fighters
Complete final level without dying!
Complete the Arcade Mode of Raiden Fighters 2
Complete the Arcade Mode of Raiden Fighters Jet
Complete Stage 1 (any game or difficulty)
Play with all ships of Raiden Fighters Jet
Score 50,000,000 pts in any Raiden Fighters game
Score 100,000,000 pts in any Raiden Fighters game
Complete the final level without dying!