Should that name be Henryk Górecki?

Here are some composers that I REALLY like, and these are all quite famous composers, if one listen to "their kind of music".
I hope some of you may discover their greatness too!
Unfortunately, many aren't interested in "modern" classical music, and I believe all of the below mentioned have lived in the 20th century

Olivier Messiaen
György Ligeti
György Kurtág
Iannis Xenakis
Arvo Pärt
Alberto Ginastera
Wolfgang Rihm
Brian Ferneyhough
Salvatore Sciarrino

Well, some of my favorite composers aren't unknown, but lesser known than they should be:

Howard Hanson (Symphonies 1 - first movement blew me away, Symphonies # 2 and 3 are more famous and great as well.)
David Diamond (Symphony #4)
Peter Mennin (Symphony #5 - hope to listen to more of him)
William Walton {Symphony #1 (first movement amazes) Symphony #2 (once again, first movement is intriguing), Viola concerto (seeing this w/ Philadelphia Orchestra soon) Spitfire prelude and fugue.....his marches are always quite good)}

These are some of my absolute favorites!

It should! Good catch! I googled "Gorelick" to see where in the world I got that idea (other than having a flu-addled brain this week)-- and it turns out to be Kenny G's last name.

Maybe Henryk Gorecki would have better known if he had gone by Henry G?

Kimmo Hakola is my favorite 'unknown composer' whom I discovered a few years ago (after buying a CD of his amazing Piano Concerto on the strength of a rave review). He is a pupil of Rautavaara, but his music is totally unique and quite unlike his teacher's.....

It's always hard to answer such a question meaningfully without knowing which composer can be considered "obscure" and which can't. Various criteria can be used: CD sales, numbers of recordings, uploads on YouTube, "fans" on Facebook, mentions in newspapers, etc., and the results obtained will be different in each case.

Some of the composers I enjoy and believe deserve a much wider audience than the one they currently have are: Alkan, Barraqué, Boulez, Dillon, Dutilleux, Finnissy, Alexander Goehr, Hába, Kabeláč, Nancarrow, Nørgård, Rădulescu, Rihm, Roslavets, Scelsi, Skalkottas, Sorabji, Vivier, Wuorinen, and Zelenka.

I did not mention the better-known "obscures" (such as Ligeti and Stockhausen), simply because there is something of a wide gap between the popularity they and the guys I listed have.

Yes... back when I was a member of Naxos Music Library (awesome collection, but ultimately too steep at $20/month), I got to know some Hakola, including that piano concerto. Great stuff!!

I'll also second two of Sequentia's selections: Nancarrow, because I think he did something truly unique and wonderful in his 50 Rhythmic Studies, and Sorabji, who's known a little in this forum (though mostly as a joke), but not at all in the real world. And whose 100 Transcendental Etudes I love.

-J