I've was 'forced' to transcribe my first tune at my early age as part of my music training. I think it's a John Denver tune. It must have been like a few weeks of listening in order to complete it. And I was told to listen to the bass first, then simply play a major or minor chords over the identified bass and hear how close it matches. If that doesn't help, simply play (with the help of a capo back then) 12 major chords and 12 minor chords chromatically for the closest match ! :) That was a good kick start for me.
1) Identify the bass (easier on some type of song, harder if the bass starts with 3rd or other inversions)
2) Next up, if it sounded happy (major) or sad (minor) or both major / minor can also be applied (power chord)
3) Aug and Diminish - if it doesn't fit #2.
...and later, 7th, 9th, and so on..
I was just practicing to hear and match on my guitar (and later keyboard, which is easier to experiment with chords) up the the fifth for a long while, covering mostly country , rock and roll and pop, but none jazzy tunes. When I'm better at that, my next is to handle the 7th : Major 7th, Dominant, minor Maj7, etc.. while ignoring additional colors.. that I don't understand. And I've never learn any theory up till this stage. Just hearing and matching. Another way is not to hear any chords, but just to listen to the bass line.
So, the better I'm at the basics (as in the order above), the easier I can move forward for more intervals. Learning the keyboard enables me to speed up experimenting with more intervals and complex chords. And there are more than one way to represent one chord, minus the theory, as long as it make sense to you : Bm7b5 = Dm6/B ..I was using all sort of names before I learn other type of chords.
Edit : and at some point later, learning theory is a must ! - so I can write proper chord names for other musicians, not necessary for my own understanding, but I'm glad I did the chord construction theory all the way up to the 13th (mostly by books, and attending workshops here and there - I'm not a music degree holder).