The PowerCore Elite basically has 3 PIQ 1.0 ports (10W X 3, 6A) and 2 input ports (4A). The product isn't exactly 'new'. It features the squarish design.
The PowerCore II 20000 on the other hand is Anker's newest of the lot, has 1 PIQ 2.0 port (18W) and 1 PIQ 1.0 port (12W) with an input port of up to 18W. It features a ridged design with curved edges.