It relates to all forms of animated media. In literal terms, the word “Anime” is translated as animation in Japanese.
In Ecchi Sex Games, you control the Anime characters, pick the storyline and enact all sorts of fantasies. Ecchi suru describes someone of lascivious behavior or when used as a verb, means “to have sex”.
Ecchi is Japanese slang, meaning “sexy”, “naughty” or “dirty”.