Based on the latest Android 4.4.4, BeanStalk ROM brings you the best and latest Google OS to your Exynos-based GT-i9500 S4.  One of the main benefits of Android 4.4.4 is obviously much more performance and better battery life over Android 4.4.2.  While you could wait for Samsung to update its firmware, why wait you can install great custom ROM such as the BeanStalk ROM?
You will be able to get the latest Android 4.4.4 + root along with slew of customization options including HALO, Active Display, Gesture Anywhere, Shake Events (Shake your phone to launch an app or turn on flashlight!), Battery Save Mode, PIE Controls,  custom animations, and much more.
Overall, BeanStalk ROM is an excellent daily-driver for your GT-i9500, so definitely check it out this week(end) and do let me know what you think!

Download:
Download BeanStalk ROM for Galaxy S4 GT-i9500 (PLEASE DO NOT INSTALL UNLESS YOU HAVE GT-i9500!!!)
Download Android 4.4.4 Gapps (DO NOT USE OLDER GAPPS!!!)
To install, reboot into recovery, make backup ROM, wipe data/factory reset, install ROM, install Gapps, and reboot. (If for some reason you end up in a bootloop, reboot into recovery, go to Advanced Wipe for TWRP or Mounts & Storage for CWM, format/wipe /system, then re-install ROM.)
(First time installing custom ROM? See How to Install Custom ROM on Galaxy S4 first!)
Credits - XDA <— Please donate to the developer of this ROM or hit Thanks button on XDA if you like it, thx!
Extras:
Want latest Android L Preview Keyboard?  See How to Install Android L Preview Keyboard on rooted Android!
If you want some awesome audio, check out Viper4Audio FX MOD, which you can install on this ROM to enhance your music 100%.
If you want to run your apps in tablet/hybrid/custom DPI mode, see our Xposed App Settings guide.
If you want PIE Controls, see our LMT Pie Control guide.
Need to run apps that check for root?  Check out How to Run Apps that’s don’t run on rooted Android!
Q&A:
Q: My 3G/4G LTE data is not working!!!
A: See How to Fix 3G/4G LTE data by Manually Setting APN on Android!
Q: I don’t have Play Store nor any of the Google apps!
A: You forgot to install Gapps, reboot into recovery and install it! (See above for download.)
Q: The ROM is not booting!
A: Try formatting /system and re-install ROM, sometimes the system partition gets corrupt and you may have to try 2 or 3 times before the ROM boots.