ROMs that work on my Samsung S4 (carrier Sprint):

• CyanogenMod ROM (YESSSS, I like it)
  • non-carrier-specific
  • Cyanogenmod 10.1.3 is the last release that was on Android 4.2.2 (download here) (flash instructions)
  • download Google Apps
• Triforce ROM
• ClockworkMod Recovery
• GalaxyS4Root.com — blog that links to several different ROMs
• files for installing via Windows:
  • USB drivers [2]
  • instructions for flashing: [1] [2] [3]