Take a look at works of Ivan Efremov, Alexander Kazantsev, Kir Bulychev.
Kazantsev is especially Soviet in the sense that he looked forward to the worldwide communism and the greater good it would provide to humanity. Once you get over the overabundance of "tovarisch" his works are truly epic, full of adventures and immensely enjoyable to the former teenage me. "The destruction of Faena" is easy to google. I don't know about any other English translations.
For an easy way in read Bulychev's "Those Who Survive". Bulychev is famous for writing SF books for children but this story is more than that. Read it.
I read just a couple of short stories of Ivan Efremov and I cannot say much about him except for the fact that he has some highly regarded SF novels.
There are also Strugatsky brothers who I think are well known in the West.
Somehow I thought that Stanislaw Lem belongs to the list. His works felt closer to Soviet SF than to the western SF. He was a brilliant Polish writer.
Want a good laugh? Read Ilf and Petrof's "The Twelve chairs".
As you see I am mostly a SF guy. I don't find the prose of the Soviet period interesting maybe because it mostly covers the consequences of the wars and revolutions that Russia had to go through. These events seemed to overshadow everything else in the mind of a Soviet writer. If you want to read about the heroism of the Soviet people during and after the WW2 and atrocities of the revolutions there are a lot of books to chose. My grandmother lived through the WW2 and read and reread the books about it many times.
As for the topic the West praises the works of art that depict only how tough it is to be Russian and live in Soviet Russia. Who wants to intentionally read and study propaganda and counterpropaganda anyway?