My three personal favorites are the Daredevil, Punisher and Agents of Shield series. The biggest issues you'll run into there are that the first couple seasons of Agents of Shield are a little rough (especially first half of 1st season), so you've got to do some trudging, and then The Punisher S2 isn't super great, even though the action is amazing. Don't discount Agent Carter as a little fun historical sidebar. Not only are the seasons short for Agent Carter, but the first season delves deep into the history of the Black Widow program, which will likely tie nicely with the upcoming Black Widow movie.
And yes, we've got a serous MCU lull ahead of us, not only with the movies, but also with new TV seasons. In fact, I don't think there is one single new MCU anything between now and Black Widow coming out on May 1st. That is pretty unprecedented.