You only have the choice of two Full Frame compatible adapters, the LA-EA3 and LA-EA4. The LA-EA1 and 2 are for APS-c and have been discontinued, but are still available used.
I have tried the Minolta 500 mirror on my A7 and LA-EA4 and it works, just as on any Sony DSLR or SLT camera, with full Auto Focus, peaking Etc. The A600 (an APS-c camera) should be the same, although I have not tried it.
Function/Operation of LA-EA1 and LA-EA3
Auto focus (AF) only available with SAM/SSM lenses for still images. AF does not operate during movie recording. AF system:Contrast AF. AF/MF Select: Switchable on the Lens if available. Single-shot AF mode only.
Function/Operation of LA-EA2 and LA-EA4
Auto focus (AF) Available for all lenses. AF system: Contrast and Phase-detection. AF/MF select for SAM Lens is switchable on the lens and for SSM Lens is switchable on the lens and in the menu when the switch on the lens is on AF. Single-shot AF and Continuous AF.
The LA-EA4 has a motor to control the mechanical aperture mechanism of A-Mount lenses, so all camera modes will work without limitation.