The three classic albums of the genre
Loveless - My Bloody Valentine
Souvlaki - Slowdive
Nowhere - Ride
Cocteau Twins
Talk Talk (Laughing Stock and Spirit of Eden, post-synthwave)
This all falls under dream pop and while I don't think it has much in common with noise's effect on the brain, it can be a little disorienting due to the depth and variance in sound.
If you're asking for my recommendations though, when I'm anxious this song is probably my favourite, https://www.youtube.com/watch?v=eJ4Mn2X-Wm4
Put some good earphones on, turn it up, and just let your mind shut off as the fuzz and noise slowly builds. The part around ~3.45 is almost orgasmic to my ear, but I'm on the spectrum and I'm quite sensitive to audible sounds so perhaps others don't hear it quite like I do.
The combination of the music and the jellyfish floating by in that video.
Seems like that particular YouTube link is unavailable (maybe just in the UK?), but I believe this is another copy of the same track, The Radio Dept. - The City Limit: https://www.youtube.com/watch?v=YNOjIJN5u7E
There are a lot of different directions you could go from there, but personally, one of my favorite releases is Guilty of Everything by Nothing as a more modern take on shoegaze. (mid 2010's vs 90's)
Additionally, there are some critically acclaimed releases in extensions of the genre like post-metal with Deafheaven's album Sunbather being a great entry into that particular sub-genre.
Hope that gives you a bit of a starting off point!
Paul’s Boutique represent.
Is a top choice and rare enough - you can find it on spotify now though !