There are other computer processor brands outside of Intel and AMD indeed, but it good to narrow down the discussion to these widely popular names. They are easy to find and the compatibility factor is basically better than others.Intel Core
When building a Hackintosh computer, most people will simply choose Intel over AMD for a very good reason that we call “compatibility”. Any of the latest generations of Intel processors called Intel Core works with Mac OS X, and therefore it works with Hackintosh equally well. Intel Core processors including the Sandy Bridge (2nd gen), Ivy Bridge (3rd gen), and Haswell (4th gen) have been proven to work properly with Hackintosh; Broadwell (5th gen) has just arrived. However, the most sophisticated processors of the Core family including Sandy Bridge-E, Ivy Bridge-E, and Haswell-E are not completely compatible with Hackintosh due to the use different sockets.
Intel Celeron and Pentium
Some of the older generations of Pentium and Celeron are supported in Mac OS X. The bad news is that the newest Celeron and Pentium from Haswell generations are not supported in this operating system as well as in Yosemite. If you are trying to cut cost when building Hackintosh, Celeron and Pentium are not actually bad ideas. The underlying architectures used in those mid-range processors are mostly similar to those implemented in Intel Core. Either Ivy Bridge or Sandy Bridge uses LGA1155 socket which is the same with Intel Celeron G530. Therefore, a Hackintosh powered by G530 works well.