I'm looking at fitting a Quaife ATB LSD to my 4AGZE AW11.
What axles do I need in order to fit this diff?
Will this diff fit the 4AGZE gearbox?
Any help will be appreciated.

The AW11 E51 and SW20 E153 gearboxes both share the same diff part numbers from Toyota (41301-12070) which confirms it will fit into your gearbox. Your current driveshafts should also work with this as the E51 didn't come with LSD from factory (from all the sources I could find on the internetz.) so it shouldn't have the issues of LSD VS Non-LSD driveshafts like the E153 SW20's have.

My box does have an LSD. Seems to be a plate type LSD by the way it clunks and shudders on slow turns,
that's the reason I want to replace it.
Didn't SC AW11's have LSD's?