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