Kono Minikuku mo Utsukushii Sekai, Sora no Otoshimono Recommendations
I started watching Sora no Otoshimono the other day and couldn't understand why I felt like I had already seen it until realizing that it had almost the exact same premise as This Ugly Yet Beautiful World. Girl with big boobs/naked and/or super powers falls from the sky and is under the guidance of a guy. The difference is that This Ugly Yet Beautiful World is more serious and shows naked normal sized breasts, while Sora no Otoshimono is an ecchi comedy with clothed huge breasts. In This Ugly Yet Beautiful World more people have super powers; in Sora no Otoshimono "pantsu" is said at
An alien chick with very little in the way of clothing drops from the sky, and lo and behold, a teenager finds her and the go off into their happy little harem.
Both anime revolve around a young adolescent who meets a celestial being that literally fell out of the sky. While trying to deal with their new-found companion, they also have to deal with the jealousy of a girl from their past.