Some, percentage of existing compressors are still reciprocal. But the good old recip, which is still best in some apps, has been in general phase-out since the late 70's, Cap. Nary a new one left on the automotive scene, for example.
Ya got your vane types, your scroll types, and your screw types (helical).
And there is ammonia-absorption-cycle refrigeration that is over 100 years old, and does not use a compressor at all. Jade Mountain sells an ammonia-absorption-cycle refrigerator that runs on a kerosene pilot light.
/john