What "double moves" are sometimes considered legal? As we know, castling is a legal "double move," where two pieces are moved at once. 

But in my country, Indonesia, in my childhood, the opening below was an 'assumed legal' double move to counter 1.e4 and similar openings.

[FEN "rnbqkbnr/p1pppp1p/1p1111p1/8/4P3/8/PPPP1PPP/RNBQKBNR - - - 0 0 "]


As I understand, this opening is an illegal double move. (Someone can help me with the FIDE rule.)

I would like to know, though, are such double moves played in any other place in the world??
Castling is the only legal chess move in which two pieces are moved. You can verify this by searching for "FIDE Laws of Chess" and reading "Article 3: The moves of the pieces" (I do not provide the URL here because unfortunately it frequently changes).