The first structure to surpass the height of the Empire State Building was the Griffin Television Tower in Oklahoma City and that occured in 1954.
https://en.m.wikipedia.org/wiki/Grif...Tower_Oklahoma
Next the Empire State Building was surpassed in height as the tallest freestanding structure in the world by the Ostankino Tower in Moscow in 1967.
https://en.wikipedia.org/wiki/Ostankino_Tower
The first actual building taller than the Empire State Building was the now destroyed Twin Towers of the World Trade Center, which surpassed the Empire State Building in 1971 or 1972.
https://en.wikipedia.org/wiki/World_...3%E2%80%932001)