The SuperSU root permissions manager is probably one of the most widely-distributed power user tools on Android at this point, though it won't be breaking the Top Ten lists in the Play Store any time soon. Developer Chainfire has issued an update to version 2.13, which includes a huge list of additional and adjusted features. As far as usability is concerned, the biggest change is probably the fact that the app is now available on the Amazon Appstore. Kindle Fire modders, this means easy updates for you.

unnamed

Other major adjustments include improved support for AOSP, Android L, and Android TV (such as they are). The app will now check for removed root apps when you boot up your phone or tablet, and SuperSU should now work fine on MIPS-based hardware, thanks to an adjustment removing chipset checks. Here's the extensive list of technical changes, posted on Google+:

- Improved support for Android TV (adjusted icon, disable some features, use device default theme by default, etc)
- Parse UID names to numbers manually if the system fails to do it
- Fix system user not gaining root even if "trust system user" enabled
- Transition to init context if started in init_shell context (if possible)
- Adjust boot sequence for encrypted devices
- Support MCS for -cn/--context switch
- Silence a larger number of audits on latest AOSP/L
- Many small changes to fix support for latest AOSP/L
- Secondary users are no longer able to change trust system or respect CM settings
- Added experimental supolicy binary
- Check for removed apps at boot, and forget their settings if re-authentication is enabled
- Amazon Appstore support
- Remove APK restriction to install to ARM and X86 only (issue for MIPS)
- Notify interested apps (with root granted) when overlays need to be hidden
- Transition to init context if started in kernel context
- Experimental builds for armeabi-v7a, arm64-v8a, x86-64, mips, mips64
- Fixed erroneous fd close that could cause su session freezes
- Fixed occasional freezes and wrong exit code in sugote
- Remove busybox dependency in TWRP/CWM binary updater
- Fixed missing sugote-mksh in backupscript
- Fixed install script wiping out SuperSU Pro
- Added option to disable mount namespace separation
- Fix bug where grant as default access still showed a prompt
- Added reboot button in dialog after binary update
- Added tapjacking protection - may cause issues with screen dimming apps!
- Added removing Team Venom SU
- Added new dalvik-cache paths to clear on package maintenance
- Fix exitcode sometimes being wrong when full content logging is enabled
- Fix automatic OTA survival
- Updated language files

You can always find the latest recovery-flashable SuperSU ZIP on Chainfire's personal page. The Play Store listing hasn't been updated yet, at least in my browser, and the Amazon page is listing the app as version 2.12. The developer says that Amazon's verification processes mean that it will probably lag a little behind the Play Store.

Source: Chainfire Google+