Fwiw, we can do the 3:1, 3.3 & 4:1 Sumo Japanese gears in either the 34mm or 38mm case. They offer a conversion idler shaft and in some cases we combine those with additional parts to fit the earlier 34mm case. The has been some detailed threads on the 34 vs. 38 mm t-cases but long and short, both are great options and you're not going to break anything in a 34mm that wouldn't suffer the same fate in a 38mm. Wear on the 34mm idler shaft proper is/was the issue and after 200k it's a marked difference.
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You'll notice the 3:1 keeps the high range at 1:1 where you get some underdrive out of the 3.3:1 and 4:1 options. For many this is welcome, for others it is not. The underdrive is needed in HR for the 3.3/.4.1 in order to get the input ratio workable for the low range to get that low. For those that like their existing factory low but want a high range overdrive (faster speed) or underdrive (more power), we offer a 10% kit for either direction. As noted above these can be fitted to the 34mm case with some conversion parts.
In addition to the Sumo Japanese gears, we do stock some of the Marks 4WD gears out of Australia. They are less common these days as the Sumo options have surpassed their offerings but they do have a few ratios that are worth considering.
We stock more gear options in the US for the split case than anyone and can offer any of these gears in a brand new t-case too!

You can rear more about them here on Mud:
YWST: Low Range T-Case Gear Sets for the 1980-2007 Cruisers