This is a list of Galaxy S4 stock rooted ROMs.
What’s different from stock firmwares?
These are the same versions of stock firmwares but with root and you can install them easily using CWM or TWRP recovery just like any other custom ROM (no ODIN needed).
If you are not returning your phone for warranty and you just want to re-install stock ROM, you can install these rooted stock ROMs instead of using ODIN and stock firmware, a much easier process and this will also let you keep your CWM/TWRP recovery.
Latest Galaxy S4 rooted Stock ROMs
Download Galaxy S4 rooted Stock ROM AT&T SGH-i337 Latest MF3 – For AT&T, you also need to install Loki-Doki.zip after installing ROM in CWM/TWRP recovery!!! - Credits
Download Android 4.4.2 Stock ROM with Root for T-Mobile Galaxy S4 SGH-M919 (also can be installed on GT-i9505, AT&T S4, and Canadian) – Mirror @DownloadAndroidRom.com (See Wifi Fix here)
Sprint MJ4 Android 4.3 is out, here’s how to install it.