Movies (feature films, if you prefer) always list the songs they feature at the end of the credits.
Here's an example from Star Trek Into Darkness:
But TV shows seem to answer to different rules. I noticed this when I was getting into Breaking Bad, then realized it was true for all other shows.
I get slightly annoyed not to be able to know what songs are used in TV shows and I can't understand why.
It would allow people to discover new artists, would give a fair and legal credit to the artists. Today, people have the option to skip or watch the credits with VOD platforms, it's up to them so the duration doesn't matter anymore. If you design using a smaller font, flash the cards faster or use two columns side by side you could fit a lot more, so I also don't think this would be a problem.
So why aren't the songs used in TV shows in the credits?