It's a bummer that the show will never play with original music on some streaming service due to (as I understand it) music licensing problems.
The solution there is to not bother with "streaming services" and just download the readily available alternative captures, which include the original music.
Northern Exposure had similar problems but, as I understand it, at least some was resolved for the (somewhat relatively) recent DVD box set release.
It just wasn't an issue that was seriously considered by a lot of studios(?) at the time and it's not like back catalog TV shows are usually these big money-makers that warrant a lot of time and cost to get in order.
There's a DVD box set that has almost all of the original music!
That's so stupid when these rights disputes come up! Think of how many people will stream or buy the songs legally after (re) discovering them on an old show.
And think of how few people will watch the show solely because it features copyright music.
It should be the other way around, i.e. Stranger Things should send the record company a bill for the resurgence of "Running up that hill".
The most horrible example is the Rocky and Bullwinkle Show. Early commercial VHS tapes of it have the original music. Later tapes, and the DVDs, have all the music replaced with just awful generic music. That bad music just makes it unwatchable.
Music is an enormous factor in movies, I wonder why nobody mentions it. For example, the Lord of the Rings soundtrack is spectacular and adds greatly to the pleasure in watching it. In contrast, the soundtrack to The Hobbit sounds completely generic and boring, and the result is unwatchable.
Another example is Star Wars. The first two movies had amazingly good soundtracks. The later sequels had boring music, and whaddya know, the sequels were boring.