Waiters in 1963 wore bow ties

Here is Robbie Gould's waiter uniform in Dirty Dancing.

Robbie Gould wearing a waiter uniform
in the movie "Dirty Dancing"

To see what waiter uniforms looked like in about 1963, I did a Google search for waiter movie 1963 and found the following images.

Actor Dennis Edwards playing a head waiter
in the 1963 movie "Festival of Pawns

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Actor John Baker playing a waiter
in the TV series "Edgar Wallace Mysteries" in 1963

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Actor Paul Phillips playing a waiter
in the 1961 movie "Only Two Can Play"

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Actor Paul Phillips playing a waiter
on the TV series "The Saint" in 1963

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Actor Alf Casha playing a waiter
in the 1963 movie "The Human Jungle"

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Actor Andrew Andreas playing a waiter
in the 1963 movie "The Human Jungle"

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Actor Pat Judge playing a waiter
in the 1963 movie "The Sentimental Agent"

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An unknown actor playing a waiter
in the 1963 movie "The VIPs"

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An unknown actor playing a waiter
in the TV series "The Saint" in 1963

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Actor Andre Charisse playing a waiter
in the 1964 movie "Hot Enough for June"

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Actor Henri Desoto playing a waiter in various roles

All of the images except the last were found on the Movie Dude website.

The last, Desoto montage was found on The Unsung Joe website.