Songs from the Big Chair (the one with Shout) came out in February 1985, so that theoretically could work. Shout was released ahead of the album release, per Wikipedia, in November 1984.

You could also go back to the earlier TfF album, The Hurting. I had a French exchange student stay with me the summer of 1984, and she got me into their album (I'm in the US), and Mad World is on that album. The whole album is banger, if you ask me!