Asuka Nimasu Shrine in Asuka, the ancient capital of early Japan is a very old shrine and is one of the possible sources of the name of Asuka.
The three main kami enshrined here are Kotoshironushi, Takamimusubi, and Kayanarumi.
Kotoshironushi is an Izumo kami, one of Okuninushi's sons, nowadays equated with Ebisu. Kayanarumi is a daughter of Kotoshironushi, and Takamimusubi is one of the three "creator" kami. In some versions of the Kuniyuzuri myth that explains the ceding of Japan from Okuninushi to the Yamato, it is Takamimusubi who orders the process and not Amaterasu, and in fact Ninigi who descends to rule over Japan is the grandson of both Amaterasu and Takamimusubi.
Kayanarumi is the most interesting of the three, and an alternate name for her is Asuka no Kannabi mi Hime no kami, and this relates to what happened after Kuniyuzuri. Okuninushi decided to place himself and several of his relatives in the Kannabi (sacred mountains) surrounding Yamato, and Kayanarumi was placed in a mountain in Asuka, so it seems likely that she was the original main kami of the shrine.
There are a lot of secondary shrines within the grounds, enshrining Onamuchi (the name of Okuninushi enshrined in nearby Miwa), Oyamazumi, an Asuka Yamaguchi Shrine, and Sarutahiko.
There is also an Inari Shrine, one for Konpira, one for Daijingu, and one for Shirahige, a Korean god brought over with immigrants who settled in the Lake Biwa area.
When we look at some of the things for sale in the small office of the shrine it becomes clear what the focus of the shrine is,..... fertility!
This is a male/female sake cup.
The shrine is home to a famous matsuri, the Onda matsuri, which includes a performance with masked dancers that includes explicit representations of the sex act.