The band’s self-titled debut album, produced by Tom Treumuth, was released in June, 1984. The album featured four charting hits in Canada: a completely re-recorded version of “New Girl Now,” “Burning In Love,” “Wave Babies,” and “Stay In the Light.” All were written by Grehan. “New Girl Now” was also Honeymoon Suite’s first single to reach the top-50 in the United States.
Their follow up album, The Big Prize, produced by Bruce Fairbairn, was equally successful in Canada, with four more hits: “Bad Attitude,” “Feel It Again,” “What Does It Take,” and “All Along You Knew.” Grehan still wrote the lion’s share of the band’s material, but Dee and Coburn also contributed songs to this album; “Feel It Again”, a Coburn composition, reached the Top 40 in the US, while Grehan’s “What Does It Take” reached no. 52, buoyed by its inclusion on the soundtrack for the John Cusack film One Crazy Summer. In 1989, “Bad Attitude” was featured in the series finale of Miami Vice, played during a Ferrari driving segment that mirrored one from the series’ pilot episode.