Here is the full list of all 32 Dex achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Neutralized the TruBody gang
Rescued Shen
Opened the safe in the Aphrodite
Successfully used the Convince option in a dialog
Helped an old man off the street
Reached level 5
Performed a headshot
Drank more than 10 Energo Colas
Completed the game
Showed THE Armagear hacker who's boss
Didn't leave anyone behind
Found Soto
Had a taste of all the 'professionals'
Bested a war machine
Reunited ill-fated lovers
Defeated an old acquaintance for the second time
Forced Mitchell to confront his past
Opened Ellie's eyes
Exposed Crash's identity to the world
Performed 20 Takedowns in a single playthrough
Picked 10 locks
Reached level 10
Reached level 15
Acquired the laser gun
Installed 7 implants
Maximized a Major skill to level 6
Upgraded a software to its maximum level
Sold all the antiques to Hank
Opened the safe on the Eclipse
Met the new BiofarmTech receptionist
Met the original
Got crushed by an elevator