My wife is pretty sensitive to violence. She has watched a little bit of Justified with me, but it makes her uncomfortable. She won't watch Breaking Bad. I'd say Blacklist is her limit for violence. She won't put up with much language. We've watched the following shows together:
Blacklist
The Office
Scrubs
Parks and Rec
Parenthood
Mr. Selfridge
Sherlock
Suits
Seinfeld
Everybody Loves Raymond
What do you recommend next?