The developer of the Phœnix 9.3.5 Jailbreak and other projects, tihmstar, has just released an untethered 32-bit 8.4.1 jailbreak. The Jailbreak is called "Etason JB"

http://tihmstar.net/etasonjb/
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This will only work on 32-bit devices. If you have a 32-bit device, you can downgrade to 8.4.1 without SHSH blobs by following this guide
If you downgrade from iOS 9 to iOS 8.4.1, you must Erase all content and settings before you can install EtasonJB

You can only downgrade to 6.1.3 and 8.4.1 on Jailbroken 32-bit devices
This is useful because there is currently no untethered jailbreak for 32bit iOS 9 devices, however with this jailbreak, we'll still be able to use most up-to-date applications while having an untethered jailbreak.

Download it here! http://tihmstar.net/etasonjb/
Download v1.1 update from repo.tihmstar.net

 

Just a heads up, the jailbreak is very unstable at the moment.
Me and many other users have had issues with the icon cache.
Fixed with etasonJB
Download v1.1 update from repo.tihmstar.net

 

iOS 6.1.3, it has a stable untethered jailbreak.
If apps you want to use are not supported on iOS 6, stay on 9.3.5.
I don't recommend using the iOS 8.4.1 jailbreak yet as it's currently broken.
Fixed with etasonJB
Download v1.1 update from repo.tihmstar.net

 

Update: tihmstar has fixed the icon cache bug
etasonJB is good to use!

In case you didn't notice:#etasonJB untether was updated to v1.1 on https://t.co/X9s8KHLLjB which fixes the icon cache bug.

— tihmstar (@tihmstar) September 26, 2017

etasonJB
Download

Download etasonJB v1.1 from repo.tihmstar.net

 

I believe all 32-bit devices from 6.0 to 7.0.6 update to 8.4.1 before updating to 9.3.5.
Check what kind of device you have here