What if the protagonist was given a year before the events of the main quest?
To explore the world, to see the seasons pass, to start a family, to make friends and enemies, to solve local quests, to enter fully into the world of skyrim, before they get huge dragons to burn everything?
You could participate in politics, or start a business. You could marry the daughter of a noble or a peasant. Or you could live as solitary hunters in the woods.
THEN ..........
Here come the dragons threaten to change or destroy what you build or kill friends!
The involvement would be high, and everyone would fight like crazy to defend what he has.
Time spent playing before the disaster would serve to make you stronger, not making it seem absurd that one out of nowhere kill hordes of demons and dragons.
Imagine waking up every morning for 365 days in the same city where you live and know many, and find it in flames!
Much better than arriving in a place with a fast travel to kill the baddies and leave thereafter. And with the possibility to rebuild, to re-populate......
Imagine a world where many events are not dependent on the step of the quest but they are unique or cyclic, and if you're there, fine, otherwise you lose them. A Fair, a celebration, a small war between two lords, weddings, funerals, etc. etc.
This, combined with the ability to radically change the world around you, it would be great.