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