1. If you fire the "Clear Skies" shout at night, you will cause Aurora Borealis (or Aurora Tamrielis, whatever) to appear

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2. If you summon a Dremora while at the Shrine of Mehrunes Dagon, they will actually start offering prayers to the banished Daedric Prince

In Skyrim if you summon a Dremora at Mehrunes Shrine it will pray there
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3. Members of the werewolf-hunting Silver Hand faction always carry "cure disease" potions or (the ingredients to make one), due to their ignorance of how Lycanthropy is spread

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4. Guards will hassle you for suspicious behavior if you stand near a corpse while your weapon is drawn, regardless of whether or not you killed that person

if you stand near a dead body in Skyrim with your weapon drawn for extended periods of time, a guard might get suspicious of you and accuse you of the murder whether you did it or not
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5. Wearing the full Daedric Armor set will give you a 10% bump for all intimidation checks, which makes sense to me.

Wearing the full Daedric set raises the chance of successful intimidation checks by 10
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6. In the quest "Lost to the Ages" the ghost Katria will comment if you retrieve more than just her journal from her corpse

VideoIn The Elder Scrolls V: Skyrim, the quest Lost to the Ages has a ghost named Katria who asks you to retrieve a journal from her corpse Removing the armor however, causes her to comment to the player about not leaving her body with any dignity
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7. The official banner and sigil of The College of Winterhold is literally an Open Eye of Magnus 

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8. When casting fire magic, you can actually boil the water in the environment

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9. If you meet the Dragon Durnehviir (in the Dawnguard DLC) BEFORE you've done the "Dragon Rising" quest (where you first encounter dragons and learn about your Dragonborn status), your character will say they're confused why he keeps referring to you as a "dovah", and Durnehviir will respond saying "Forgive me, my instinct was to grant you this title. I am uncertain why."

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10. If you leave valuable items like gems or potions on the ground, nearby NPCs will claim it's theirs, prompting them to fight over it

 

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