Here is the full list of all 75 The Elder Scrolls V: Skyrim Special Edition achievements worth 1,550 gamerscore.
Escape from jail
Acquire 11 vampire perks
Bounty of 1000 gold in all nine holds
Learn 20 shouts
Buy three plots of land
Complete 50 Misc Objectives
Build three wings on a house
Complete 10 side quests
Craft an item out of Stalhrim
Discover 30 locations on the island of Solstheim
Acquire 11 werewolf perks
Reach Level 50
Clear 50 dungeons
Pick 50 locks and 50 pockets
Chop wood, mine ore, and cook food
Complete "Lost to the Ages"
Use the special power of Auriel's Bow
Complete "Darkness Returns"
Change your face
Join the Thieves Guild
Complete "At the Summit of Apocrypha"
Complete "The Path of Knowledge"
Complete "The Temple of Miraak"
Arrive on Solstheim
Complete "Dragonslayer"
Absorb 20 dragon souls
Complete "The Fallen"
Make a smithed item, an enchanted item, and a potion
Complete "Hail Sithis!"
Complete "The Eye of Magnus"
Get a skill to 100
Complete "Revealing the Unseen"
Complete "Bound Until Death"
Join the Dark Brotherhood
Successfully persuade, bribe, and intimidate
Complete "Elder Knowledge"
Complete "Alduin's Wall"
Complete "Glory of the Dead"
Capture Solitude or Windhelm
Capture Fort Sungard or Fort Greenwall
Discover 100 Locations
Become a member of the Circle
Join the Stormcloaks or the Imperial Army
Join the Companions
Complete "Diplomatic Immunity"
Complete "Kindred Judgment"
Reach Level 25
Complete "Beyond Death"
Find 13 Standing Stones
Buy a plot of land
Complete "Awakening"
Join the College of Winterhold
Acquire a Daedric Artifact
Learn all three words of a shout
Buy a house
Reach Level 10
Complete "The Way of the Voice"
Absorb a dragon soul
Complete "Bleak Falls Barrow"
Reach Level 5
Select a Standing Stone blessing
Complete "Unbound"
Returned the Thieves Guild to its former glory
Get married
Have 100,000 gold
Read 50 Skill Books
Collect 15 Daedric Artifacts
Learn all three words of Soul Tear
Defeat a Legendary Dragon
Adopt a child
Build three houses
Learn all 3 words of Dragon Aspect
Learn the secrets of 5 Black Books
Tame and ride 5 dragons
Own a house in Raven Rock