I still use Internet based services, for example I might find a new band because someone on Instagram posted about them. Or maybe I listen to an album on streaming before deciding if I'm buying it. Oh and some live music venues have Youtube live streaming (e.g. Smalls jazz club). With movies, of course I might watch a movie trailer or a review on YouTube.
Speaking of movies, the situation is different because unlike music, I can't actually find most of my favourites on streaming services. However more often than not, you can rent them online, so I might rent (but never buy!) a movie through Apple, YouTube etc., then if I like it and think I want to watch it again, I will buy a Blu-ray. But I kinda gave up on pure streaming services such as Netflix etc. since their catalogue is so shallow.
This obviously doesn't work for everyone, if your way of listening to music is just "Hey Alexa play a smooth jazz playlist while I cook" then of course streaming is the right thing for you. Same if you just like to watch movies casually and you're not a film buff, in that case Netflix & co. are OK.