For the most part (since by children I also meant teenagers) this is exactly what I wanted, a list of anime that isn't totally led by children.
I cut out the ones I've seen. This list is still huge, but I might as well ask. Are there any any shows out of these that anyone would recommend?
Nana, Ristarante Paradiso, Bartender, Antique, Nodame Cantabile, Honey and Clover, Skip Beat, Kuragehime, Paradise Kiss, Shouwa Genroku Rakugo Shinjuu, Natsuyuki Rendezvous, Saraiya Goyou, Barakamon, Hataraki Man, Golden Time, Soredemo Sekai wa Utsukushii, Akatsuki no Yona, Toshokan Sensou, Arakawa Under the Bridge, Ergo Proxy, Gangsta, Paranoia Agent, Tatami Galaxy, Death Parade, The Big O, Welcome to the NHK, Uchuu Senkan Yamato, Spice and Wolf, Detroit Metal City, Kuuchuu Buranko, Steins;Gate, Genshiken, Kemonozume, Kikou Souseiki Mospeada, RideBack, Kurozuka, Maoyuu Maou Yuusha, Cuticle Tantei Inaba, Yondemasu yo Azazel-san, Suisei no Gargantia, Noragami, Overlord, Dimension W, Log Horizon, Darker than Black, Uchuu Kyoudai, Rowdy Sumo Matsutaro, Petshop of Horrors,Wolf's Rain, Gunsmith Cats, MD Geist, Genocyber, Onikirimaru, California_Crisis, Claymore, Golden Boy, Onikirimaru, The cockpit, Ah My Goddess (college-age male), Sekirei (also college-age male), Love Hina (college-age male), kara no kyoukai (most films are post-school age), Viper's Creed, Active Raid, Rail Wars, Plastic Memories, Black Bullet (there are lolis, but the MC is adult), Divergence Eve, Shirobako, Ojisan to Marshmallow, I can't understand What My Husband is Saying (thx itisnotlogical), Hen Zemi, Ninja Slayer, Kagewani, Sushi Police.