The first series that came to mind is The Woman Who Still Wants to Marry, which is a K-drama about three female friends, each of whom is very dedicated and competent in their respective careers. They don't work with each other, but they do spend a lot of time being there for one another. The series is as much about their friendship as it is about their romantic entanglements (it also features two interesting older woman-younger man couples as well as a single woman who is happy to remain single). oyceter has reviews of episodes.

The other series that comes to mind is the J-drama Keizoku 2: SPEC also comes to mind: the main characters are police officers who are partners in a special division unit. Touma is the brains, Sebumi the muscle: both are very excellent at what they do. At first they don't get along, but they soon learn to cooperate and trust each other as every good cop buddy team does. What I like about this series is that Touma is very much the eccentric, socially maladept genius type but she's female. lacewood has a great primer post.

If you're intrigued and need download links to either, I would be happy to supply them!