Cold War Destroyers....

[Lucky13]

What would the Top 5 look like?

Swedish destroyer J19 HMS Småland in 1978....

 

[GreenKnight121]

HMAS Vampire:

HMAS Perth (II):

HMAS Hobart:

 

[GTX]

Not in any order of priority:

Charles F. Adams-class (and their derivatives, the Perth and Lütjens classes):

Spruance-class:

Arleigh Burke class:

Type 42 class:

Sovremenny class:

 

[bf109xxl]

It all depends on the choice of the Cold War time frame. For example, the Alreigh Burke class can formally be considered in the broadest time frame (up to December 1991), but in fact it did not participate in or influence any events of the Cold War.
I would limit the time frame of commissioning to 1985.