I was listening to the music show this morning, and when they talked about the Persona 4 song sounding not quite like actual English, it made me think of the song Prisencolinensinainciusol.
It's from the early 70s, and it's pretty trippy.
I'm not even going to bother to reword the Wikipedia entry on it:
The song is deliberately meant to sound to its intended Italian audience like English spoken with an American accent, but the lyrics are actually pure gibberish, with the exception of the words "all right."
Celentano's intention with the song was to explore communications barriers. "Ever since I started singing, I was very influenced by American music and everything Americans did. So at a certain point, because I like American slang Ă˘â‚¬â€ť which, for a singer, is much easier to sing than Italian Ă˘â‚¬â€ť I thought that I would write a song which would only have as its theme the inability to communicate. And to do this, I had to write a song where the lyrics didn't mean anything."