The auto transmission offered for the 6[SUP]th[/SUP] gen is CVT. Its not called earth dreams transmission. Earth Dreams tech is in regards to their new dohc i-vtec (+vtc) engines. So the new city either get the 5sp manual or the CVT transmission (mated to the same 1.5L engine, which as above is pretty good too).
As Honda have continued the same engine for the 6[SUP]th gen[/SUP] city internationally, I guess they will eventually introduce the earth dreams engines in the 7[SUP]th[/SUP] gen. (only talking about the petrol version as the diesel version is already a earth dreams engine).
Honda jazz though has got the new petrol earth dream engines in some markets like New Zealand for eg.