Yes, the two cases I have in mind are: illegal instructions (but then the instruction is in xTVAL), and load/store access errors (which is the only case I can now think of that will require reading the instruction, if one wants to handle the exception in a recoverable way).
Speaking of xTVAL, there is a STVAL, but I'm not completely sure it gets the treatment described above. From what I could read in the specs, they seem to only document that for MTVAL. But, gray area for me.