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