In addition to the kite network illustrated by @Rodread, I should also have mentioned the kite arches which have been discussed many times in this forum.
I do not consider the Tetrahedral kites (Bell cellular kites and similar) as kite networks, but as “multicelled rigid box kite” (Wikipedia’s definition looks correct). The same for flying rotors because the blades do not form a kite network as such, otherwise, RAM kites should also be considered as kite networks because they include several inflatable cells.
Until proven otherwise, kite networks (apart from perhaps kite trains) and cellular kites do not seem suitable for AWE, but I will admit my error if it was otherwise.