AFAIK no digital match.
Chamfered [angular with clipped corners] style with angled diagonal on _S_ found in very few fonts. Diamente Extra Bold has a similar _S_ but _A_ and _K_ are different. For _A_ look at _U_ and imagine it upside down with a crossbar. For _K_ look at _R_ and imagine the leg upside down to make the top arm.
Outlining is a college lettering style found in fonts such as SF Collegiate https://www.dafont.com/sf-collegiate.font?text=DAURKHORSE&fpp=100&back=theme or Superstar by ITC http://myfonts.us/td-uKw4vM

Unless the company has a private font this is most likely hand lettered.
A simplified version of a style called Fraktur.
For a big selection of Fraktur fonts you can visit the website of Gerhard Helze at www.fraktur.biz
Compare to two of his free [kostenlosen] fonts that you can download from the first page of his website:
Koch Fraktur and Mars Fraktur. Imagine the bottom serifs are clipped off and more curves are used.
You might also be interested in a font called Bradley by Will H. Bradley in 1895 -- digitized by Ralph M. Unger.
Not close enough to be a close substitute, but has some of the flavor of the _Imperial_ wordmark.

Cloister Black by Morris Fuller Benton, 1904.

tail of _B_ covers top swash of _R_.

Mistral is the original by Phill Grimshaw

Jenson a pre-digital font. For details see my post:
https://www.dafont.com/forum/read/235699/wings-greatest

Logo maker modified the texture, covering some but not all of the adhesive tape overlaps.

Potsdam by Robert Golpon for Trennert & Sohn 1930s. Digital version by Manfred Klein here at Dafont.
Redrawn for these letters.
Changes:
Bottom stroke of _e_ shortened and kick up tab added.
Bottom stroke of _r_ clipped to match _a_ and _n_.
_z_ custom.

For the _R_
Looks like the lettering designer has squeezed the width of Morris Fuller Benton’s Wedding text [aka Linotext, Mariage etc.].
For the rest:
Still looking.

Village -- top rhs of _5_ is clipped. Not currently offered by Letterhead fonts.

Stratford -- only obvious difference is top of _d_.

Book weight.

Agree that Impressum is a good substitute, except that the _U_ is wider.

Custom logo for Crack Magazine
https://crackmagazine.net/
Closest I found is Kairos Sans Condensed Black, but it is too wide and has some differences, such as how the leg on _K_ connects to the vertical stroke.

Baki's info is correct about the existence of a custom Fraktur for the NYT designed by Matthew Carter [in 1995] but it is called NYT Fraktur Six and is derived from the newspaper's nameplate rather than being identical.
No font available to the public is a match to the nameplate, but Temporal is similar. Differences include: rough edges, arrowhead instead of lozenge ornament on the vertical bar of _T_, flourishes different on _h_ lower rhs, _N_ and_Y_.