Here is the full list of all 8 Cosmic Cavern 3671 achievements.
Startup the game and...
Reached CAUTION Mode.
Defeat 4 enemies in a row in Arcade Mode.
Score 1,500 points with the Gem.
Score 1,000 points in MZ-80 Mode.
Score 5,000 points.
Score 7,00 points in MZ-700 Mode.
Get surround paint bonus point.