You could probably find a stock ROM that matches your version in the development forum that you could get the apps from. It does not matter if you get a rooted version of the ROM. You just want to get the odexed stock ROM that you can get the apx and odex files to replace the ones that you have removed.
Sprint Samsung Galaxy S III (Rooted Stock LJ7)
Retired: HTC Touch Pro, HTC Touch Pro 2, HTC Hero, HTC Evo 4G
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