Although the below progression is not exactly the same as the one used in the 1958 recording of "Smoke Gets In Your Eyes" by The Platters, it's the one that I use when playing the song, and one that you might find interesting to study. The Platters version is in Eb Major, so we'll stay in that key for these examples.
Four bar number chart
We will split these diagram collections into two bars each, the first time keeping the chords slightly simpler.
The second time through the 2 bar sequence we use the same chords, but with more extensions and a bigger sound. The adding of more notes into the chords the second time through gives us dynamics and adds interest. Instead of a 2(min7) we will play a 2(min11) and we will add a 9th on top of the 5(13) chord.