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