Here is the full list of all 9 Starship Disco trophies - there are 5 bronze, 2 silver and 2 gold.
Hit 1000 Perfect Targets
Hit 1000 Great Targets
Completed all tracks
Completed a track with 5 or less misses
Completed a track with no misses
Hit 500 Targets
Completed 1 track with less than 10 misses
Get 5 Prefect hits in a row
Hit 10 Targets