Color vintage photos showing us the Sunset Blvd / Vine St corner are hard to come by so I’ll always pounce on one when I come across it. In this shot, we’re looking west along Sunset toward Vine in 1965, which means the NBC radio and television station had been gone for about a year. But we can see the Wallichs Music City sign in all its green-and-red glory. And that tower we can see in the background (the one with the triangular roof) is the Hollywood Athletic Club, which is still around.
See also: A collection of photos of the NBC radio and television studios on the northwest corner of Sunset Blvd and Vine Street, Hollywood, Los Angeles
The same view in January 2018:
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The apartment tower you are probably referring to is the Hollywood Athletic Club.
Quite right!