In general, commercial simulators don't allow you to break out the different components of the current. That is, the drain current includes gate-induced drain leakage and the (negative of the)  body-drain diode current including the band-to-band tunneling. If you use Berkeley Spice, you can modify the source code to print out the values of the different components that are amalgamated.

For some items, the HSpice element templates do allow you to print the values. For example, I see that "LX70" is "igidlo", the gate-induced drain leakage for level=54 (BSIM4).  I think the format for these is:

Code:

.print nmos:LX70 

or
Code:

.print nmos:igidlo 

But you have to look carefully at the mosfet level to see what is supported.  (Eg, LX47 is IGIDL for levels 57,58,59, but is described as "GIDL current Meyer and Charge Conservation" which is probably not what you wanted.)