I'm a great big fan of Kyoani shows, my favorite being Hibike! Euphonium.
They also animated K-ON! (cute girls doing cute things) among other fuwa fuwa moe shows like Lucky Star!
Their recent movies are great too, aaa their main director Naoko Yamada has crafted beautiful cinematography in Tamako Love Story, Koe no Katachi, and most recently, Liz to Aoi Tori.
Another note, I am also a great big fan of Satashi Kon's and Mamoru Oshii's works!