Clannad + After Story - The first Season ("Clannad") is set in school with the protagonist experincing fun and tragic moments. In my opinion the sad parts of the show are very well handled and in good balance with the humor. While its good, its not until the second Season ("Clannad After Story"), when it becomes godlike. In the second season the protagonist graduated from school and married his girlfriend. Its about family and coming to terms the tragic events that happened in the past with his father and the recent ones that happen to him, his wife and his daughter. My favorite show of all time. I don't know if you like it, since most of the anime you stated are action driven, but please give it a shot.
Steins;Gate - A story that starts as a comedy with a bunch of insane Otakus building some kind of time machine. But as they proceed to change the future with it, terrible things start to happen. If you like time travel, weird characters and mystery.
Bakemonogatari, Nisemonogatari, Nekomonogatari,... - This is really comes down to weither you like weird shows or not. Its about weird events and characters with really funny and interesting dialogs. If the plot and the character weren't weird enough semselves, anime studio shaft mixed ist with lots and lots of weird artsy thingys. Just try to watch it, you will understand.
Black Lagoon - If you like action, Black Lagoon is definitly a musst-see. Its a about a bunch of mercenaries who lives in a crapsack city somewhere in thailand and doing jobs for and against the mafia. Lots of unrealistical, but cool action.
Jormungand + Perfect Order - At first its like Black Lagoon with less budget (well, the are set in the same world, just in different times and locations. There is even a small manga, where Koko meets the Lagoon Company). Its a anime about weapondealers who have to handle other weapondealers, the officials and american intelligence groups. Perfect Order goes farther and explores why our protagonist, the insane weapon dealer Koko is shooting hundreds of rockets into space.