Enban Koujo Warukyure (UFO Princess "Warukyure" -- which I believe should be UFO Princess "Valkyrie" based on intuition) is based on the successful series on monthly magazine Shounen Gangan with the same title by Kaishiyaku.
The story takes place in a near future, on earth, where alien spacecrafts crash landed (probably?) on a public bath house and a shrine. On a real life, these kind of things should have attract attention, however, uniquely there is nothing at all. People are living their everyday life like there is nothing happened and those two scenes at the public bath house and the shrine already become a common sight.
Also noted there are two aliens (WARUKYURE and WARUKIYURE) -- one is the adult transformation of the other, has almost the same pronounciation only differs in writing.