Here is the full list of all 78 Marvel’s Spider-Man Remastered achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Complete all optional projects in the lab
100% Complete CTNS: Silver Lining
Complete the "Aiding a Human" mission
Complete the Screwball chase
Get Spectacular or better in all Screwball Challenges
Complete the "Scales of Justice" mission
Complete the "One Plus One Equals Win" mission
Complete the "Old Friends" mission
100% complete all districts
Take down each Prisoner Camp
Defeat Taskmaster
Complete every Taskmaster Challenge in the city once
Pay respects at Ben Parker's grave
Complete all Research Stations
Complete any Enemy Base without taking damage
Take down each Demon Warehouse
100% complete CTNS: Turf Wars
Take down each Hammerhead Front
Complete all Crimes in a district
Complete the "Bring the Hammer Down" mission
Complete the "Lockup" mission
Complete the "Blindsided" mission
Purchase all Suits
Complete all of the Corrupted Student missions
Take down each Sable Outpost
Complete all Side Missions
Take down each Fisk Hideout
100% Complete CTNS: The Heist
Complete the "Like a Fiddle" mission
Complete the "Follow the Money" mission
Complete the Black Cat chase
Knock together 10 pairs of enemies with Trip Mines
Complete "The Maria" mission
Max out all Gadgets
Photograph all Landmarks on the Map
Get Spectacular or better in a Taskmaster Combat Challenge
Defeat Tombstone
Ride the Subway 5 times
Complete all Faction Crimes in a district
Unlock all Skills
Greet 10 citizens
Collect all Backpacks
Perch atop Avengers Tower
Complete Act 3
Defeat Li
Defeat Scorpion and Rhino
Get Spectacular or better in a Taskmaster Stealth Challenge
Achieve Ultimate on a Taskmaster Challenge
Defeat Electro and Vulture
Complete 10 Vehicle Takedowns
Catch all of Howard's Pigeons
Get Spectacular or better in a Taskmaster Drone Challenge
Complete Act 2
Track down Black Cat
Craft 15 Upgrades
Max out one Benchmark type
Get Spectacular or better in a Taskmaster Bomb Challenge
Chain 4 unique tricks before landing
Perform 75 Stealth Takedowns
Wear 5 new Spider-Suits
Complete all objectives in a base
Achieve a combo of 100
Complete Act 1
Collect a Black Cat collectible
All Surveillance Towers activated
Defeat Shocker
Traverse across the city rooftops
Complete a level 1 Traversal Benchmark
Complete a level 1 Combat Benchmark
Craft your first Upgrade
Perfect Dodge 10 attacks
Collect 5 Backpacks
Defeat Fisk
Complete a New Game+ playthrough
Complete a playthrough on Ultimate difficulty