Anime:
Sakurasou no Pet na Kanojo - Nice mix of Slice of life and Drama in a High School Rom-Com
Chihayafuru - Interesting story and nice display of Karuta
Maquia - Great anime-original movie about family... kinda?
Manga:
Act-Age (I don't support the heinous actions of the author and don't associate them with the artist) - Interesting story about the journey of a highschool girl becoming an actor to support her family
Vinland Saga - Mostly historically accurate tale of a boy who witnesses his father's murder and seeks out revenge
Barakamon - Interesting slice of life showcasing a calligrapher's journey as he grows and figures out his own style of writing by finding a new home