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