Planetes, starts very chill and builds up to become a very solid story with (going by memory) an ending I felt to be good, which is rare for any kind of TV series.
Ghost in the Shell, I agree on this suggestion, it's awesome.
FMA I've only seen the "original" not Brotherhood, and it's very good.
Nana is an excellent young adult story with very good writing and characters. It develops really well. Never ended, but honestly the way the current series ends still just... works. Many of my anime loving friends and myself really found it worth the watch. Possibly my fave.
Food Wars really divides because of the ecchi stuff (it's intentionally erotic when they eat the food) but honestly everyone who has watched past the first few episodes I feel has ended up really liking it. It's great to watch while snacking because it will make you insanely hungry.
Gangsta I remember liking quite a bit.
Haikyuu - never in my goddam life would I have ever expected to enjoy a freaking volleyball anime of all things so much.
Steins;Gate is a blast.
Death Note I really enjoyed most of it but the second 'half' of it just lost me a lot, in a Game of Thrones kind of way.
Your Name is terribly beautiful and enjoyable, and I quite enjoy Garden of Words too. For watching with the kids, My Neighbor Totoro is an absolute must.