My favorite band, Hanson, has put out eight studio albums and are currently on a 25th anniversary tour. And they are only known for “Mmmbop.”
Or Closer to the Heart, Limelight or Spirit of Radio. I’ve never, ever thought of Rush as being known for one song. Of course, I’m a fan of their work.
I didn’t read through the entire thread, but the artist that came to mind for me is Los Lobos. I’ve been a Los Lobos fan for decades, have owned most of their albums, and think they are terrific musicians with a great body of work. I actually saw them in concert this year.
But most people seem to know them only for La Bamba, which isn’t even their original song. While I like their version of La Bamba just fine, it is well down on my list of favorite songs. How Will The Wolf Survive, on the other hand, is one of my favorite songs by any artist.
Not a thread-winner but worth mentioning, Gary Numan has over 20 albums but no one outside of direct fans know anything except Cars.
Frank Zappa has over 60 albums, I pretty much only know him for the ‘yellow snow’ song and I don’t recall ever hearing him on radio lists.
Do you know about CTRL-F? 
It helps me in threads like these to see if something I’m thinking of posting has been mentioned. Both artists have been listed.
Regarding Zappa, he’s been mentioned, but for “Valley Girl.”
Mojo certainly like Weller and call him important and influential and so on. In 2015 (for example) they described him as “one of Britain’s greatest living songwriters” so there is all sorts of honorific titles they may have used.
TCMF-2L
I bet if you were dutch it wouldn’t be such a surprise though.
I’m open to correction, but I* think* these two groups were one-hit-wonders in the US, but released numerous albums that were well-known in Europe/Australia:
Shocking Blue (Netherlands) > “Venus”
Easybeats (Australia) > “Friday On My Mind”
Ricky Martin apparently has a bunch of albums. All I know is Livin la Vida Loca.
Did I miss any mention of DEVO? Although I’m a huge fan and listen to their entire collection, I’d find it hard to believe most people would know anything other than their hit song “Whip It”. . . they released 9 studio albums. . .
. . .
My thoughts are original and mine alone! You can’t take that away from me, my mind belongs to me, free will, overcome! throws water cooler through window and runs off across the fields
Some Americans are aware of several Jam songs, mainly the ones that were featured in early MTV videos (“A Town Called Malice” and “The Bitterest Pill”). But it’s true that very few Americans know about Weller’s solo career.
Known to some in the US only as a trivia question – the improbable AC/DC connection, so reminiscent of the early Spinal Tap incarnation “The Lovely Lads.” 
I disagree, Gary Numan has to be a front runner for thread winner.
The problem with Frank Zappa is… the large majority of people don’t know anything by him.
How about Tom Cochrane and Red Rider? They released a solid half dozen albums with some success (Lunatic Fringe) but barely cracked into the public consciousness outside of Canada. He’s only really known for his solo hit “Life is a Highway” which was released in 1991.
^ When I started reading your post, I thought your pick was going to be “Lunatic Fringe.” MTV would play the video over and over when I was a teenager. I forgot who even performed “Life is a Highway.”
I also remember the song “She Bangs,” although I don’t know how many do. Apparently, he had an even bigger hit (vs “She Bangs,” at least on the general US chart) in “She’s All I Ever Had,” but, listening to it, it doesn’t sound the least bit familiar to me.
Admittedly I’m a Brit with very little music knowledge, but the only Chicago song I know is “Hard to Say I’m Sorry”.
Not the most prolific, but in terms of apparent discrepancy between one hit and overall success, from a UK point of view The Eagles are only really known here for “Hotel California”.
Ha. This is what came to mind when I saw the thread. I’ve always wondered how **Yes **could be in the Rock HOF with only 3 songs. 
By being in the minority of 70s acts who actually deserve it?
Funny there’s actually only three songs on Close to the Edge. They could have gone in just for that LP.
Yes has put out the equivalent of 21 studio albums now (includes 1 double-album and 2 albums that were each only half new studio tracks). They have had 11 singles chart in the full US charts. On the US rock charts that apparently started in the 80s, they had multiple #1s. and many more Top 10s, including some I’ve never heard of. (Obviously since I wrote this post I’m a fairly decent fan of theirs)
As mentioned above, “Wonderous Stories” was their biggest hit in their native England, their only top 10. “Owner” only hit 28, but was #1 in the US (and their only US top 10). Roundabout hit #13 in the US.