Here is the full list of all 36 Transiruby achievements.
Enter the dimension realm
Save at the savepoint
Open a container
Reach Area 2
Reach Area 3
Reach Area 4
Defeat Military server: Calasma
Defeat Cyberbrain manager: Izuriha
Defeat Ballistic Computer: Midroga
Defeat the Grand Unknown
Defeat Yamato
Defeat the Phony Angel
See the ending
See a slightly different ending
Read the manual
See all the pictures in the gallery
Defeat 3000 Dark Materians
Freeze 1000 Dark Materians
Defeat 300 Dark Materians in bike mode
Destroy 1000 blocks
Clear the game with 100% completion rate
Clear the game without dying
Hit a 99 chain combo
Achieve bronze in time attack mode
Achieve silver in time attack mode
Achieve gold in time attack mode
Collect all element cartridges
Collect all life cartridges
Collect all Mega Tranchips
Collect all Dark Quartz
Find all wandering Dramos
See the black cyborg 3 times
Find secret item