Broken Base: Fans are split between those who appreciate more or less everything they've recorded, and those who think everything they've done since the EP with Mike Patton has been an artistic failure.
Epic Riff: The opening riff from "43% Burnt" is probably the first thing that comes to mind when they're mentioned; it's one of the few musical ideas in their back catalogue that could be called "catchy". Little wonder that they've played the song at every gig they've played since they wrote it.
Magnum Opus: Calculating Infinity is generally considered this, or at least, it's the only Dillinger album that all of their fans agree is good. It's also undeniably the most influential.
Rescued from the Scrappy Heap: Fans were not pleased with the announcement that Greg Puciato was to be the band's full-time singer, especially given his "meathead" appearance and decidedly obnoxious persona, but he's gradually earned a lot of respect over the years.
Tough Act to Follow: Calculating Infinity. Much of the experimentalism on it's follow-up, Miss Machine, was there specifically to avoid accusations of the album being "Calculating Infinity 2".