So a Skyrim without Dragons is pretty damn interesting.
I started the second playthrough and only completed the main storyline until they tell me to go kill the Dragon outside of Whiterun.... I never went. So Dragons do not yet spawn in my world. I'm level 45, Guild Master of the Thieves guild, maxed Enchanting/Alchemy/Smithing and I'm working on the Dark Brotherhood storyline. Without a single Dragon. Without one mention of a Dragonborn.
It's strange, I feel like I'm not "destined to save Skyrim" anymore and instead am a person of my own volition and will. It's pretty liberating.