Squeeze as the group of the day, it would be so easy to choose their biggest U.S. hit, "Tempted". I liked that song well enough, but never as much as a dozen and a half other things they recorded - and most of those were prior to that 1981 hit.
Even the lead singer on that song, Paul Carrack, was only in the band a short amount of time.
Arguably, Glenn Tillbrook and Chris Difford were the heart, soul and voice of the group (not to discount the other original members) and that original line-up was their strongest. But Difford and Tillbrook wrote the majority of their songs and sung or co-sung much of the music.
Even for these two, the vocals on "Take Me I'm Yours" (1978) are delivered a little differently. Just slightly beyond a monotone, those two voices make the song work - at least for me.
Squeeze always had some great, slightly off-kilter music ("Cool for Cats", "Up the Junction", "If I Didn't Love You", etc)
Since it's pre-MTV you get a sub par video, but that's ok, it's about the music.