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