I have been a big fan of Jacques Hopkins for awhile and I love his podcast "The Online Course Show".
He interviews course creators who have had success making and selling courses.
If you look at the format of his show, this has become the standard of how intros are being done.
He starts with an interesting hook that talks about his guest, briefly introduces what the show is about and then goes straight into the interview.
He gets into the interview at around the one minute mark. This is intentional. The faster you get to the meat of the episode, the better.
Perfection in my opinion π
If you want to study intros or you need a new show to listen to, check this one out. I have learned a lot from it.