The clue is fairly direct.
The style is distinctive but the subject matter is somewhat unusual for him. The clue alludes to the Leavis's journal Scrutiny and F.R. Leavis's high opinion of Lawrence (and low opinion of most writers).
Hoffmann is probably best known, at least outside Germany, as the protagonist of Offenbach's opera Les contes d'Hoffmann. That has little to do with the real Hoffmann, but Klein-Zach figures memorably, if irrelevantly, in it.
Every listener to Test Match Special has noticed how England tend to lose wickets during the shipping forecast (and at other times, too). This has nothing to do with Proulx's tale of journalism in a small town in Newfoundland but it does recall the title.
Beckett was an Irishman, and his rather surprising game of choice was cricket (at which he was decidedly good).
You have to know the play, I suppose.
Elizabeth Browning is associated with Portugal because of her Sonnets from the Portuguese, but here she is actually describing the panicky reaction in Rome to the Risorgimento.
A goldsmith. The only music I associate with Cellini is by Berlioz.
The famous accompanist recounts a difficult journey from Newcastle to London soon after the war, in the company of Elisabeth Schwarzkopf, who seems to have taken it very well.
Sister of the more famous William, but an excellent writer herself.