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