Quick update on this, as the diff is all put together. To recap:
Original 60 Series housing
Late 80 Series LSD carrier (these have 4 friction discs instead of 6 in the 60 Series and early 80 Series LSDs)
60/80 Series LSD internals
OEM 4.11 ring and pinion 41201-80527 - 33 mm pinion shaft diameter
80/100/200/Late 70 Series 50 mm OEM carrier bearings
100/200/Late 70 Series pinion shaft bearings
200/Late 70 Series companion flange and oil seal (100 Series would fit but is NLA).
100/200/Late 70 Series oil slinger and pinion shaft nut.
Terrain Tamer 100 Series solid spacer (overpriced and with useless shim selection).
So, yes, you can build an all-new, all OEM 60 Series diff with the ring and pinion kit 41201-80527, but you need a lot of extra hardware to go with it. But as I see it, this is the only quality 37:9 (not 41:10) ring and pinion set out there.
To set the pinion depth, I used a 1.30 mm shim which seems to be the standard size on these diffs.
To set the pinion pre-load I ended up with 3x 0.02 mm hand cut shims, so 0.06 mm in total. Torquing the pinion nut up to around 200 Nm I got around 2.0 Nm of starting pre-load on the bearings with the oil seal installed but without the carrier in place.
I set the backlash at between 0.13 and 0.16 mm around the ring gear.
Added about 0.5 Nm of pre-load on the carrier bearings to end up with about 2.5 Nm of preload at the flange, which is towards the top end of the range for new bearings (1.8 - 2.6 Nm as far as I can tell from various FSM versions, all of which are either vague or plainly contradict themselves in places.)
And this is the pattern:
EO