My friend, who is a native Japanese speaker, just started a new podcast for Japanese language learners. He is specifically targeting those at the intermediate N3 level. He just started about a week ago, so the structure is still developing. But in the early episodes, he discusses current Japanese news stories, describing them at that oh-so-uncommon intermediate level.
His name is Amao, the podcast is AmaoJapan, and the link is here: https://player.fm/series/amaojapan
You can also access it through the Apple Store podcast list or other podcast directories.