Later models of the MKIII were available with a 1JZ-GTE but only in Japan. You can do the swap and there is information posted here about it.
The M series heads and blocks are, for the most part interchangeable with one another and the JZ series heads and blocks are interchangeable with one another... The M series and JZ series share no common parts and none are interchangeable.
I would avoid getting a 7M-GE block (the N/A MKIII Supra and the Cressida had these). They don't have the lower compression pistons, the blocks aren't drilled for the turbo oil supply and return and they don't have oil squirters to help cool the pistons.
The Cressida didn't ever come with a 1JZ from what I recall. It was available with a 5M, 7M or 22R 4cyl. It's longer lived, JDM only siblings the Cresta and Chaser did offer the 1JZ.
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