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