Awesome Music: Their 1992 album Angel Dust is widely regarded as one of the most groundbreaking, influential albums in music history. The Real Thing is also well-loved.
Non Sequitur Scene: The CD version of The Real Thing has as the final track "Edge of the World", a creepy lounge-jazz track about a pedophile (there's a mention of being "40 years older") who's offering "candy" to a girl. For bonus whiplash, it comes on the heels of the heavy Mideastern-influenced instrumental "Woodpecker from Mars" (the final track on the vinyl version) and a blistering note-for-note cover of Black Sabbath's "War Pigs".
Ear Worm: BE AGGRESSIVE! B-E AGGRESSIVE! B-E-A-G-G-R-E-S-S-I-V-E!
Epic Riff: "Epic" (what else?). Also the drum intro to "Midlife Crisis" and the keyboards in "From Out of Nowhere".
The main riff from "Smaller and Smaller" qualifies as well.
Face of the Band: To most, Faith No More is Mike Patton and a bunch of nameless guys. However, James Martin and Roddy Bottum also get a fair bit of recognition, Martin getting a cameo in Bill and Ted's Bogus Journey and Bottum being recognised for his work with Imperial Teen (and for being one of the few openly gay people in metal). Chuck Mosley is quite well-known as well, if only because Patton replaced him. Courtney Love is possibly the most famous person to ever be a member of Faith No More, but her stint with the band is barely known.
Mr. Bungle has a similar case. Most people familiar with the band can only name Mike Patton, but there are a couple of other relatively well-known members in the band, such as Trey Spruance and Trevor Dunn.
Mostly averted with Fantomas, though. Out of Mike Patton, Trevor Dunn, Buzz Osbourne and Dave Lombardo, the only one that isn't all that well-known is Trevor Dunn (being in a band with Mike Patton, The Melvins's frontman and Slayer's drummer will do that to you).
It's just not the fandoms, either. Mike Patton and Anthony Kiedisreally don't like each other.
In fact, the music video for "Epic" is largely a parody of the Peppers.
After a first meeting where they managed to at least settle the feud somewhat, Mike got angry at RHCP again because they asked the record company to postpone Mr Bungle's California album until after RHCP put out Californication, so in a concert he sang a verse mocking "Under the Bridge" and pretended to shoot up. Kiedis then got Mr. Bungle thrown off a festival bill they were supposed to share with RHCP. Read up for more information - notably, the management and the other RHCP members emphasized to Mike that Anthony alone was responsible for that.
Hilarious in Hindsight: In the film "Bill & Ted's Bogus Journey," 'classic lineup' guitarist Jim Martin was introduced in the future as the leader of the "Faith No More Spiritual and Theological Center". The band's reputation only grew after their break-up and short-lived reunion, so describing a New Age facility named after them may not be too far off.