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