Now and Then, Here and There
Sora no Otoshimono (there is lots of humor, but the undertones are pretty serious, especially when you get into the upcoming second season)
Eureka 7
Peacemaker Kurogane
Le Chevalier D'Eon
Black Lagoon
Busou Renkin
Elfen Lied
Kono Minikuku mo Utsukushii Sekai
Last Exile
Outlaw Star
Neon Genesis Evangelion
Saber Marionette J (humor at the beginning, none toward the end)
Solty Rei (old guy)
Summer Wars (movie)
Venus Wars (movie)
These will probably fit the bill. The concept you want has more prevalence in manga I think.
Series I am less sure about (because I haven't seen them):
Fantastic Children