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