The drive train is the same but there are enough differences especially electrical to warrant getting the right manuals. Wasting a day chasing the wrong wire would be frustrating, and how do you know when to trust your manual?
Unfortunately Dan cannot get the LX manuals, you can get paper versions through the
Toyota Material Distribution Center 1-800-622-2033 they are more expensive than the LC manuals through Dan.
You can also get electronic copies of the LX manuals from the TIS for $10, PaLCruiser you buy a one day membership and then download what you want and keep it. Takes quite a bit of time to get all the manuals and info available, you can get the repair manual alone in less time. See the thread in the FAQ for multiple instructions.
I have paper copies of the major manuals and of all of them in PDF’s I really like having both.
First thing You should buy for you cruiser is at least have the FSM (Repair Manual) EWD (Electrical Wiring Diagram) and Owners Manual in either paper or electronic.
Other ones availabe for the 96 LX are Collision Repair Manual, New Car Features (very good for the 96 LX, less so in other years/models) Transmission manual, and service bulletins,
Non year specific info available on the TIS that is also good to have OBDII Monitor Description and Specification Supplements, Training manual and Wire Harness Repair manual.
Beno how did you get a free year of membership?