It sounds like you're in need of some productive background noise! Here are FOUR easy and scientific options for you to use in your classroom.
1. Birdsong
From what I understand, this is hardwired within us. Birds chirping let us know that everything is OK. Or in survival terms: there are no predators around. The world is safe and we can focus.
So by putting some bird beauties on in the background, you are giving students background (and maybe drowning out the annoying sound your lights make) while letting them subconsciously know that they can focus.
This also helps them connect to nature (albeit superficially) which may be more than many get!
I like the below because it isn't looped, it is real and it's long enough for one class (even if you are on block schedules)
Sources:
BBC - The Surpising Use for Birdsong
Julian Treasure- The Benefits of Birdsong
2. Video Games
Stick with me. What is the purpose of music in video games?
- To be in the background (i.e. not distract you)
- To keep you playing (i.e. not sleeping to your classical music)
Sources:
Is Noise Always Bad? Exploring the Effects of Ambient Noise on Creative Cognition (Doesn't specifically mention video games, but ambient lyric-less songs)
The New Playlist for more Productive Work
3. Brown Noise
What? I thought it was white noise? Well, that's one option. There's also pink noise. I find most of my students prefer the slightly deeper sound of Brown noise, but it's really personal preference.
If it just sounds too much like static to you, this is very similar to teachers who like playing waterfalls or running water (I tend to avoid these my school has strict one-at-a-time bathroom rules that running water make difficult to enforce).
This is a calming noise that's great for getting your higher energy students to settle down and focus on the activity in front of them.
Sources:
Is Noise Always Bad? Exploring the Effects of Ambient Noise on Creative Cognition (Doesn't specifically mention video games, but ambient lyric-less songs)
The New Playlist for more Productive Work
4. Student DJ
Give the students' choice! This is a great (and free) prize if they're awesome. Have them make the (school appropriate) playlist. If you can view YouTube have them send you a link. If not, play from their hone's directly.
The science here has nothing to do with the music they play, but the fact that they feel they have a say in what happens in the classroom.
Involved students are focused students.
There are definitely more options (especially the seasonal ones) but these tend to be my go-tos. What do you like to have playing in the background?