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