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