Here is the full list of all 65 BioShock Remastered achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Found all collectable Roses in “Worlds of Hurt”
Rescued the Little Sister in “Worlds of Hurt” using only plasmids, tonics, the wrench, and the research camera, on Medium or higher difficulty
Rescued the Little Sister in “Worlds of Hurt”
Rescued the Little Sister in “Worlds of Hurt” in under 15:00, on Medium or higher difficulty
Charged up the Ferris Wheel 9 different times in “A Shocking Turn of Events”
Found all collectable Roses in “A Shocking Turn of Events”
Rescued the Little Sister in “A Shocking Turn of Events”
The player has rescued the Little Sister in “A Shocking Turn of Events” in under 4:00
Rescued the Little Sister in “The ‘I’ in Team” without destroying any Machine Gun Turrets
Found all collectable Roses in “The ‘I’ in Team”
Rescued the Little Sister in “The ‘I’ in Team”
Rescued the Little Sister in “The ‘I’ in Team” in under 3:00
Complete the game on Survivor difficulty without using a Vita-chamber
The player has beaten the game on survivor difficulty.
Complete the game on the hardest difficulty setting
Complete the game without harvesting any Little Sisters
Complete the game on Hard difficulty without using a Vita-Chamber
The player has defeated Atlas
The player has become a Big Daddy
Find every audio diary
Either Harvest or Rescue every Little Sister in the game
Acquire all upgrades for all weapons
Fully upgrade five weapons
The player has broken Fontaine's mind control
Max out all possible research
Fully research the Nitro Splicer
Successfully invent at least 100 items
Invent all possible ammunication types
The player has entered Sander Cohen's personal quarters in Mercury Suites
The player has taken a picture of Sander Cohen's corpse
Fully upgrade four weapons
Collect or Invent 53 Tonics in the Physical, Engineering and Combat tracks
Purchase every slot in all four Plasmid and Tonic tracks
Fully research the Rosie
Fully research the Little Sister
The player has defeated Andrew Ryan
Fully research the Bouncer
Fully upgrade three weapons
The player has completed Sander Cohen's great masterpiece
Take at least one photo in every research group
Fully upgrade two weapons
Fully research the Spider Splicer
Hit the jackpot at a slot machine
The player has restored the forests of Arcadia
Invent at least one item
Purchased every slot in one of the Plasmid or Tonic tracks
Fully research the Houdini Splicer
Fully upgrade one weapon
Fully research the Thuggish Splicer
Acquire at least one weapon upgrade
Fully research the Leadhead Splicer
The player has defeated Peach Wilkins
Successfully complete 50 hacks
Take a Research Photo of the highest grade
Take at least one Research Photo of a Splicer
Purchase a Plasmid Slot or Tonic Slot in any track
The player has defeated the crazed J.S. Steinman
Successfully hack a safe
Successfully hack a Security Camera
Successfully hack a Turret
Successfully hack a Vending Machine
Perform at least one successful hack
Successfully hack a security bot
Successfully complete the Welcome To Rapture Level
Shock an enemy in the water