With mine it was the starter itself (had a brand new starter NOT REBUILT that died on me after 3 months of use), so IF I had gone ahead with this solution (which I was seriously considering to the point of already had the wires/connectors/relay ready to go) I would have just ended up cutting in to my wiring harness for nothing.
Here's what I can come up with just taking a look through
the TSRM starting system wiring diagram. Someone please correct me if I'm wrong, hopefully this will help people diagnose and repair their vehicles WITHOUT cutting in their harness.
If this mod does in fact work for you the problem likely exists in or connecting to one of the following:
White wire between battery positive terminal and fuse box (Ignition is fused by the 40A AM1 & 30A AM2 fuses)
White wire between AM1 fuse and ignition switch
Ignition switch
Black/white stripe wire going between the ignition switch and the starter relay (auto only)
Black wire going between ignition switch and clutch start switch (manual only)
Black/yellow strip wire going between clutch start switch and starter relay (manual only)
Starter relay (located under the passenger side kick panel)
Black/white stripe wire between the starter relay and neutral start switch (auto only)
Black/blue stripe wire between the starter relay and the starter solenoid (little plug on the starter itself that you installed your new relay on to)
Grounds
Other places to check with starting issues that are NOT fixed by this relay mod:
Blue wire between the positive battery terminal and starter
The starter itself
By measuring resistances/voltage drops between each of those sections you should be able to find where the problem exists and fix it. It will take a little bit of time with a test light and a multimeter, but it's very doable and will solve your starting issue without having to cut in to your harness. If you need numbers for what is considered "significant" voltage drop, I got this with my starter and it gives some pretty good instructions for checking voltages on the starter...
http://www.boschautoparts.com/Technical Resources/Alternators and Starters/StartingSystems.pdf
How to test your starter relay:
http://www.cygnusx1.net/Supra/Library/TSRM/MK3/manual.aspx?Section=ST&P=12
Clutch start switch test and adjustment:
http://www.cygnusx1.net/Supra/Library/TSRM/MK3/manual.aspx?Section=CL&P=4
If anyone sees anything wrong, let me know and I'll edit the post. Other than that, good luck with the testing and hopefully this will help at least someone find their problem.
....I hate electrical problems :: hommer :::: facepalm ::