EACA International.  The Computers.

EACA produced a range of machines from about 1980 to 1983.  While re-branding in different parts of the world was common, the "Genie" name seems to be EACA's itself.  I've deduced this from the fact that where the "Genie" name appears, the EACA brand and name also appears, whereas in its other guises only the trademark (and name) of the distributor is present (e.g. the Dick Smith System 80).  

The Video Genie (EG 3003) and Video Genie II (EG 3008) are discussed extensively on this website and are called here the System 80 MK I (both black and blue label) and the System 80 MK II respectively.

Other machines in the EACA stable included...