Main Quests:

• Diplomatic Immunity (complete 'diplomatic immunity,' Thalmor Embassy)
• Alduin's Wall (complete 'Alduin's wall,' involves puzzles)
• Elder Knowledge (complete 'elder knowledge,' Paarthurnax)
• The Fallen (complete 'the fallen,' Paarthurnax)
• Dragonslayer (complete 'dragonslayer')

Quests involving taking sides:

• Taking Sides (join the stormcloaks or the imperial army)
• War Hero (capture fort sungard or fort greenwall)
• Hero of Skyrim (capture solitude or windhelm)

Other Quests:

• One with the Shadows (returned the thieves guild to its former glory)
• Thief (pick 50 locks and 50 pockets)
• Wanted (escape from jail)
• Married (get married)
• Master Criminal (bounty of 1000 gold in all nine holds)
• Oblivion Walker (collect 15 daedric artifacts)

Dawnguard Quests:

• Kindred Judgement (complete 'kindred judgment')
• Soul Tear (learn all three words of Soul Tear)
• Auriel's Bow (use the special power of Auriel's Bow)
• Werewolf Mastered (acquire 11 werewolf perks)
• Vampire Mastered (acquire 11 vampire perks)
• A New You (change your face)
• Legend (defeat a legendary dragon)

Heartfire Quests:

• Architect (build three wings on a house)
• Land Baron (buy three plots of land)
• Master Architect (build three houses)

Dragonborn Quests:

• Hidden Knowledge (learn the secrets of 5 black books)
• Stalhrim Crafter (craft an item out of stalhrim)
• Dragonrider (tame and ride 5 dragons)
• Raven Rock Owner (own a house in Raven Rock)