Dunno, I'd like to think so, yes, or at least the more mainstream ones.
Off the top of my head, I've watched: All of Miyazaki's films or rather Studio Ghibli films in general, Nijiiro Hotaru, Deddo Ribusu, Chie the Brat, Tokyo Godfathers, Vampire Hunter D, Colorful, Venus Wars, Ninja Scroll, Wings of Honneamise, The Garden of Words, Kappa no Coo to Natsuyasumi, The Red Spectacles, Millenium Actress, Tales of Vesperia, Sword of the Stranger, Steamboy, Barefoot Gen, Diebuster, Kimi no na wa, Roujin Z, Wolf Children, Angel's Egg, Voices of a Distant Star, Neo Tokyo, Hotarubi no Mori e, Metropolis, Eve no Jikan, Gatchamen, Summer Wars, Patlabor, Patema Inverted, Origins: Spirits of the Past, The Boy and the Beast, Vexille, Redline, Mai Mai Miracle, 5 Centimeters per Second, Arcadia of My Youth, Cory in the House, Koe no Katachi, Jin Roh, Perfect Blue, Hakujaden, Sky Crawlers, Tree of Palme, Kai Doh Maru, The Girl who Leapt through Time, Urusei Yatsura, Memorizu, Nasu, Paprika, Hana to Alice, Short Peace, Akira, Cencoroll, Ghost in the Shell, Appleseed, Robot Carnival.
Aside from OVAs of Samurai X, Lupin III, Afro Samurai, Haruhi Suzumiya, Final Fantasy, Evangelion, Conquerors of Shambala, Blood, Macross, Gundam, etc.