I have a few recommendations (actually more than I've listed) but there's hopefully a little bit of everything here to start you off.
Bitten by akie
After an incident that should have killed Kagome, she found herself under Sesshoumaru's care and protection, her shot for any kind of normal life completely gone.
Rating: M - Universe: Canon - Status: Incomplete - Category: Chapter Stories - Genre: Action, Drama, Erotica, Friendship, Humor, Romance - Updated: 06-14-11 - Created: 08-24-09 Chapters: 24 - Reviews: 107 - Words: 91,245 - Reads: 70,809
Happily Ever After by MissTeak
(1st place for Best Romance, Best Drama and Best AU/AR, Dokuga Awards 2nd Quarter 2010) Struggling to maintain her old family shrine, Higurashi Kagome could not be more thankful for the miracle that came in the form of a letter telling her that the Higurashi family owned forty percent of a traditional Japanese inn in Tsumago, Nagano prefecture. However, in exchange for the profits made by Shiraito inn, Kagome would have to marry the devastatingly handsome yet arrogant owner and serve as the inn's okami. Happily ever after? No way!
Rating: MA - Universe: Alternate - Status: Incomplete - Category: Chapter Stories - Genre: Drama, Erotica, Friendship, Romance - Updated: 06-18-11 - Created: 06-05-10 Chapters: 36 - Reviews: 795 - Words: 126,338 - Reads: 157,290
Voluntary Obligation by Hairann
There once was a priestess who found binding a demon to be the hardest thing she ever had to do. 50 years later another priestess found releasing him to be the easiest. History repeats itself, only this time binding the demon was easy, it was releasing him that proved to be difficult. Serial for Dokuga Contest prompts. Awards are listed on chapters that won them. Nominated best canon and best drama, Dokuga awards 3rd Q 2010.
Rating: T - Universe: Canon - Status: Incomplete - Category: Oneshot Collections - Genre: Action, Drama - Updated: 07-14-11 - Created: 01-18-10 Chapters: 30 - Reviews: 28 - Words: 51,281 - Reads: 40,604
Chain of Love by Chie
Sesshoumaru's mother decides that the Western lands need an heir and hires a Matchmaker to deal with the job. She soon realises that no arrow of Amor could make Sesshoumaru fall and thus resorts to more extreme means - or rather it would seem, to a chain.
Rating: M - Universe: Canon - Status: Incomplete - Category: Chapter Stories - Genre: Drama, Friendship, Humor, Romance - Updated: 07-01-11 - Created: 06-16-09 Chapters: 29 - Reviews: 287 - Words: 163,958 - Reads: 109,689