Here is the full list of all 55 Speedbreak Hyperdrive achievements.
Complete all Cyber City Acts
Complete all Radiant Ruins Acts
Complete all Serene Shrine Acts
Complete all Mystical Realm Acts
Complete all Clockwork County Acts
Complete the Speedbreak Hyperdrive Story Mode
Complete all Cyber City Acts with S Ranks
Complete all Radiant Ruins Acts with a S Rank
Complete all Serene Shrine Acts with a S Rank
Complete all Mystical Realm Acts with a S Rank
Complete all Clockwork County Acts with a S Rank
Get a 50+ combo (Only main action stages)
Reach the final bounce room in Radiant Ruins Act 3 in less than 1:35
Get a Combo of 30+ in less than 45 seconds in Serene Shrine Act 1
Reach the Clockwork City Hall in under 2:00 in Clockwork County Act 3
Unlock and Complete all hidden stages
Complete all hidden stages with a S Rank
Complete all Stage Acts, Bosses, Hidden Stages, and Arcade Stages
Complete all Stage Acts, Bosses, Hidden Stages, and Arcade Stages with a S Rank