For TV and film, I know what genres my partner and I enjoy so I just routinely check new releases within those parameters. There's always a massive backlog available, too.
I've mostly listened to Japanese doujin music for the last decade and compilation albums featuring multiple artists are very common within that scene. As I listen I just naturally discover new artists from year to year as they feature on these albums. And again, I know what genres I like so I am regularly searching for new releases.
I am a big fan of self-curated music discovery compared to algorithm based stuff. There was a great scene in Vengeance where Ashton Kutcher's character sort of explained this philosophy.