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It should be coming back to S3 via another update, but this is all due to the Apple vs. Samsung trials.
Galaxy S3 universal search coming back in new update, at least in some markets
You just need an older version of the search to 'update' it. I found this in the Sprint section of the GS3 forum at XDA. All you have to do is extract the APK file and install it like you normally would sideload an APK. I just temp unrooted and it seemed to work fine without root.
[ROM]7/28/12 LG8 Sprint Samsung Galaxy S 3 OTA (Stock/ROOTED/Odex/DeOdex/Firmware!) - xda-developers
It's called "Revert to LF9 Universal Search". It should be the same regardless of the variant you have. Don't install any other files, though!