Hi all. I'll just jump in and say (for what it’s worth) that I don't think that just any aquarium with emersed growth would meet a definition of "riparium". Ripa is Latin for river bank and riparian zone is a clearly defined habitat consisting of the interface between land and a river or stream. Riparian vegetation, as has already been noted, is characterized by hydrophilic plants. So to me, a "riparium" should be an attempt to simulate that interface and would need to have moving water (e.g. using an outside filter at the least). my son’s newt tank, which consists of still water and emergent plants, would not be a "riparium" as it really more reminiscent of the edge of a pond, not a stream. But that doesn’t mean a "riparium" can’t have a terrestrial component, or have plants attached to wood instead of planters attached to the glass.
My 2 cents...