I just reported this to Apple. Hopefully if enough people do, it will get corrected in a future update.
Product Feedback - Apple
Personally I'm going to try to downgrade back to iOS 11.2.5
I have an iPhone 6+.
I just installed iOS 11.3 last night (4/22/2018)
Immediately upon completing the install, I began playing music, then the next day I listened to podcasts. Both the native iPhone apps for each.
The audio would glitch, stutter, skip, make a Cylon sound. And occasionally the audio would cut out completely for 10-15 seconds.
This is a constant problem and has rendered my music/podcast capabilities completely useless.
I'm glad to see this is not just an isolated incident on my phone.
Hopefully with so many having this problem, Apple might actually take it seriously. Since most iPhones double as the primary audio player. And that's one of their largest businesses.