There have been 5, 6 or more genera hybrids registered, but I think many of those are officially down to 4 or less now with the reduction in genera in the major breeding groups (Catts, Vanda/Phal, Oncids). Laipenchihara would be one example (Ascocentrum x Doritis x Neofinetia x Rhynchostylis x Vanda) but that would be Yapara now (Phalaenopsis x Rhynchostylis x Vanda). I'll see if I can dig up some more examples and post later.
What intrigues me more are the wide crosses between less closely related or difficult to cross genera: Paphiopedilum x Phragmipedium crosses have been reported but I've never seen plants or photos or other documentation that convinced me, Eurychone x Phalaenopsis, Catasetum x Cymbidium, are some examples.