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