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 "One Plus One Equals Win" mission
Complete the "Old Friends" mission
Complete the "Bring the Hammer Down" mission
Complete the "Lockup" mission
Unlock all Skills
Complete the "Blindsided" mission
Complete the "Follow the Money" mission
Complete the Black Cat chase
Complete all Crimes in a district
Complete the "Like a Fiddle" mission
Complete "The Maria" mission
Complete Act 3
Defeat Li
Defeat Scorpion and Rhino
Defeat Electro and Vulture
Complete 10 Vehicle Takedowns
Complete Act 2
Get Spectacular or better in a Taskmaster Bomb Challenge
Perform 75 Stealth Takedowns
Get Spectacular or better in a Taskmaster Combat Challenge
Complete all Faction Crimes in a district
Take down each Fisk Hideout
Complete all Research Stations
Perch atop Avengers Tower
Max out one Benchmark type
Catch all of Howard's Pigeons
Craft 15 Upgrades
Complete all objectives in a base
Complete Act 1
Track down Black Cat
Ride the Subway 5 times
Collect a Black Cat collectible
Defeat Shocker
Craft your first Upgrade
Photograph all Landmarks on the Map
Collect all Backpacks
All Surveillance Towers activated
Complete a level 1 Combat Benchmark
Complete a level 1 Traversal Benchmark
Traverse across the city rooftops
Perfect Dodge 10 attacks
Collect 5 Backpacks
Defeat Fisk
100% complete all districts
Defeat Taskmaster
Take down each Demon Warehouse
Take down each Sable Outpost
Take down each Prisoner Camp
Purchase all Suits
Complete all of the Corrupted Student missions
Get Spectacular or better in a Taskmaster Stealth Challenge
Get Spectacular or better in a Taskmaster Drone Challenge
Complete every Taskmaster Challenge in the city once
Defeat Tombstone
Knock together 10 pairs of enemies with Trip Mines
Complete all Side Missions
Pay respects at Ben Parker's grave
Chain 4 unique tricks before landing
Wear 5 new Spider-Suits
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
100% complete CTNS: Turf Wars
Take down each Hammerhead Front
100% Complete CTNS: Silver Lining
Complete the Screwball chase
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