Aside from (mostly) practicing normal sleep hygiene recommendations, I listen to a sitcom that I've already watched many times using wireless earbuds as I fall asleep. Sometimes I do both ears, somtimes one ear, depending on whether I feel like sleeping with my head turned. I'm normally a back sleeper.

Because I've already seen the episodes, they don't stimulate any thinking. They're comedy, so all happy and lighthearted. Well written comedy is funny on multiple-goarounds, but other than some chuckles the point is mostly to help me fall asleep happy. On a bad night I'll listen to two episodes, but mostly I'm asleep halfway through the first episode.

My go to shows fwiw are It's Always Sunny in Philadelphia and The Office. Parks and Recreation also works. It's OK to have plot, as long as you already know the plot / have seen the show enough, so you aren't trying to watch the episode.

Since some of these shows moved off Netflix I've had to buy them on Google Play store. FWIW Google Play's player is better than amazon video's for mobile (it's basically youtube's player).

The wireless earbuds I use are these: $35, https://www.amazon.com/Soundcore-Bluetooth-Headphones-Waterp... and they're connected by a cord so you don't lose one of the buds when you sleep (used to happen to me). I have two sets of earbuds now, because I really struggle to sleep without it now that it's part of my routine and I can't risk them not being charged.