aside from NOC (with arabic translation), you need the following:

1. transfer form (or the blue form) from MOI website (your new company will provide this): should be signed by old and new sponsors
2. copy of CR of old company
3. copy of computer card of old company
4. copy of passport and ID of sponsor
5. police clearance to be authenticated by your embassy (but first, check your embassy/mandoob if this is needed cause some nationalities are required to do so; some are not i suppose)
6. sometimes, one is also required to submit authenticated college diploma or certificate so better prepare it too. then again, check your mandoob if this is applicable to you.

good luck...