A new and distinct Echeveria agavoides cultivar named ‘AMIECH1606’ which is characterized by a flattened globular plant shape, foliage arranged in a compact rosette, broad ovate foliage with a short apiculate apex, yellow-green juvenile foliage emerging from the center of the rosette which is suffused with greyed-purple towards the apex, foliage which becomes progressively suffused with greyed-purple with age and exposure to ultraviolet light and with margins becoming vivid red, mature foliage at the outermost whorls of the rosette which is generally colored greyed-purple, suffused with grey towards the apex and margined vivid red, as well as the stability of these characteristics from generation to generation.
