Agape is a Greek name which means love and affection. It is therefore only given to girls. Agape ministries is probably the most famous use of the name, although in this case it is the name of an institution.
Asta is a diminutive of Astrid. Astrid originates in Old Norse languages and means "divine beauty". It is most popular in Scandinavian languages, the famous bearer being Astrid Lindgren, a Swedish author and creator of Pippi Longstocking.
Bonnie originates in Scottish language and is taken from the Scottish word for "attractive, pretty". Some sources suggest it can also be a diminutive of Bonita. It was popularized as a character name in the 1939 American film Gone With the Wind.