I have watched: Nobunaga Concerto, Yae no Sakura, JIN, Nobunaga no Chef. 
It's late and I'm exhausted but I think those are the only 4 I have watched. I like them in about the same order too.
Fantasy elements are fine (not just time-travel but any kind of fantasy). I would prefer period dramas in time periods before guns but it's not a hard rule. 
Any type is fine - comedy, romance or political/intrigue (battles for power). Ending doesn't matter (I don't need to know if it's happy, sad or neither).
So what are your favorites, what would you recommend?
Gunshi Kanbei

Seirei no Moribito - This has only 4 episodes. The same lead actress from Yae no Sakura but somehow more badass. It's an anime adaptation.