Happens occasionally in closed Caro-Kann/French structures too. Also King's Gambit, Vienna game, and other early f4 openings.
e4 w/OOO

Against many lines of the Sicilian, the English Attack is a system where white goes Be3, Qd2, 0-0-0.

I would like to add that if you want to play 0-0-0, 1 e4 is lot better choice than 1 d4, so the OP is definitely on the right track.
Can anyone her suggest an e4 opening that usually includes white playing OOO?