You may want to read up on the 3.1.4 + 3.5/3.9 overlay guides to get a feel for the superset of what may, or simply can't, be brought in to the updated OS. I'm not sure if the community has updated them for 3.2, but it's likely. I wasn't around for the late 90's era of 68K Amiga, having exited just prior to 3.5/3.9's release (I needed gainful employment in newer areas of IT), and only returning in 2015, but I know there are many that are well-attached to it.
Know that for 3.1.4 they scoured the lands for all of the patches that were applied to Kickstart 3.1 ROM and the disk-based components, to correct the known issues natively (in the source), and also implement them in a smart way. They also updated the things which were needed since 1994, like the 68060 Kickstart support, large media support for FFS, and some hardware race conditions uncovered with faster CPUs. FWIW - some of those hacks on 3.1 ROM and WB were just that - poorly implemented. 3.1.4 was named as such for the purpose of identifying it as a clean and sourced patched version of 3.1, plus only the additions deemed necessary for the 21st Century.
For 3.2+, there are implementations of some 3.5/3.9 parts that were achievable with the developer resources available, and additional improvements. I know they reworked the Shell, implemented ReAction, improved interactions with RTG, and did a deep dive to clean up the inner workings of the dos.library (more BCPL-related functions were optimized). There is development documentation on the media with a lot of this when you have time to dig into it. It's under the NDK3.2/ReleaseNotes and they go back to the initial 3.1.4 (where applicable). A good number of bugs which were never known, and ran back into the 1.x era, were essentially cleared out.
I personally use Gotek drives to get things going. I have 2 master USB sticks, each with the various versions of Amiga OS 1.2-3.2.2.1 ADFs, plus my RoadShow and MuLibs installs sorted on them, and some handy utilities and tools. That gets me going, and essentially links me onto my NAS, where everything else resides. I have a good number of network cards from the legacy 10Mbit to the more recent 100Mbit offerings, and even a PliPBox. Makes life so much easier.