Recommended Shostakovich?

The piece you mention is nicely done by Marriner/ASMF, Ogdon -pf, Wilbraham -tpt on Argo/Decca

Other nice performances in good sonics:
Pf Trio 1 and 2, Oslo Trio, Simax
String Quartet No. 8, Borodin Qt, Decca
String Quartets, Fitzwilliam Qt, Decca (L'Oiseau Lyre)
Sym 1, Martinon/LSO, RCA (recorded and possibly re-released by Decca)
Sym 5, 6, 7 and 11, Berglund/BournemouthSO, EMI
Sym 10, Karajan/BerlinPO, DGG - ONLY the early 1960s performance
The Age of Gold (Ballet Suite), Martinon/LSO, RCA (recorded and possibly re-released by Decca)
Festive Overture, Ancerl/CzechPO, Supraphon
.

I am a fan of his 24 preludes and fugues by Gilels, his architecture is amazing, he never did a complete set but you can often find a few here and there.
the same goes for Richter. Amazingly they seemed to prefer to do ones the other didn't. Between them they almost have a complete set.

The Kitajenko boxed set on Capriccio are pretty good accounts of the symphonies and are very good sounding SACDs. I also have the Barshai boxed set on Brilliant and the Mariss Jansons boxed set on EMI. All 3 sets are winners, but the Capriccio wins hands down on sound quality.
The quartets are special! On a par with the quartets of Beethoven, in my humble opinion. The Fitzwilliam mentioned above is good. I suggest you give the St. Lawrence 3,7, &8 on EMI a try. I think they have the spirit of these works right. It is not polite. It is not comfortable. It is the music of a man tormented by Stalin. Also check out the Fitzwilliam/Ashkenazy piano quintet (Decca), and the piano trio #2 (Ma, Axe, and Stern) if you can find it.