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