We haven't seen many of the latest series' episodes. I feel sorry for Capaldi. He's like the Pierce Brosnan of Dr Who. He plays the character really well but they can't give him any decent adventures to feature in.
I wouldn't say you're missing that much.
I'm not that terribly great a fan of Dr Who; especially the later ones. I find it very disjointed and there's no over-arching continuity.
While at the same time, there's not enough substance to really suspend your disbelief.
Mind you, the later seasons do have their moments.