Sure. I bought back in the day a G4 Mac Mini just for that purpose (running both Linux and OSX) :-)
I develop crypto code. Testing on BE is nice, not just because of endian neutral code but testing on something 'weird' can turn rare faults into common ones.
Beyond endianness I've found interesting bugs by running code on HP-PA (stack grows in the reverse direction) and on Itanium (misalignment causes a trap to the kernel)...
I wish there were a qemu supported fake architecture that made every optional decision differently (or at least every one that works with most code...).