Thirteen was the follow-up to Bandwagonesque and, in my area at least, got about as much play on "modern rock" radio at the time. But the reviews were mixed at best and its legacy isn't anywhere near that of its predecessor. (Another factor is that the band doesn't have fond memories of recording it, so they rarely play anything from it live anymore.) However, to me it's kind of like their White Album. Their sound is much more diverse than usual -- Radio is one of the few tracks that sticks to their core power-pop sound -- and they attempt a bunch of things they would never try again. And to my ears most of it works.
The two places to start, because they sound the "most" like what people perceive the band to be, are Bandwagonesque and Songs from Northern Britain.