Peter Gabriel from his third self-titled album..
This album introduced me to lots of things: gated percussion, early Genesis, Kate Bush, and the life of Stephen Biko. This song sounded strange and ominous when I first heard it (thought the intro was "she's so fuckin ay"), and then I saw the game show "It's a Knockout" which is a British version of a French show called (you guessed it!) "Jeux Sans Frontières" and found out it was literally about people dressing up in costumes and playing silly games.
Global conflict as a game show. The chorus "if looks could kill they probably will" is gramatically incorrect, even if it does rhyme. And the "kissing baboons" lyric in the single scans better than the "piss on the goons" on the album version.