First recorded by Michael Des Barres & Holly Knight (1983).
Hit version by Animotion (US #6/UK #5/CAN #7/NZ #10 1984).
From the wiki: “‘Obsession’ was originally written and recorded as a duet by songwriter Holly Knight and musician Michael Des Barres in 1983. This version was prominently featured in the 1983 film A Night in Heaven. The song was featured on the film’s soundtrack, but did not receive enough attention to warrant much radio play or a place on any Billboard charts.
“In 1984, the Los Angeles-based Synth-Pop band Animotion covered the song for their self-titled debut album. This version became a massive success – Top-10 in the US, UK and Canada – and it remains Animotion’s biggest hit.”
Animotion, “Obsession” (1984):