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