I believe you will need the transmission, transfer case, and driveshafts to make it work.
You will also need the transmission control unit (mounts behind the low trim panel on the passenger side - wiring is probably already there. If you can't find one, I should have a couple of "Worked When Pulled" units lying about...) and a new TPS (the auto one is different,) and you will probably need an A/T ECU (I think I have one or two of those around as well.) All of the wiring should be in place - including the 2x4 Deustch connector for the NSS. However, I've not done that conversion, so I'm not sure what work is entailed.
However, you can also swap in an AX-15 & transfer case - it's less work (no electronics, save reterminating the plug for the reverse lamp switch,) you can use the same driveshafts, and the only mechanical differences would be swapping out the hydraulics (if you go to external slave) and making sure the crossmember bolts up (you have to use the rearward holes to attach it to the framerails.) And possibly the pilot bushing - the clutch friction is the same.
The AX-15 is also widely available - late 1989-2000 XJ/MJ, most YJ & TJ, and Dakota (with a bellhousing swap.)
If you're really lucky, you can find an NV3550 donor (2001XJ, I think some TJ, and a few others. Uses the same bellhousing as the external-style AX-15...) but I'm not that lucky yet.
If you get the earlier "internal" AX-15, you can use the same clutch kit as your Peugeot - the only difference is the manner of connecting the hydraulics anyhow. If you get the later "external" AX-15, you will need to swap all of the hydraulics (master/slave/line,) but I consider it worth the trouble.
All in all, it will probably be far easier to swap in the AX-15 than to swap in the AW4 - especially with no electronics involved.