By far the thing that impresses me most is the seamless inclusion of the psych department, led by the very likeable Dr Frome. Many other medical shows I've seen (House, grey's anatomy, scrubs, etc) either ignore or mock this department all together apart from the odd token mental health scene/episode. It's often portrayed as a "lesser" area of medicine. New Amsterdam deals with important mental health issues within each episode with care and compassion. I want this review to remain spoiler free so as there's only one season so far I won't give example and instead encourage you to check the show out for yourself.
As well as the above, the show also hosts a strong diverse cast and maintains entertainment while tackling a bunch of contemporary issues. I really find myself rooting for the characters and I hope in the future this can be a show that goes the distance.