There's a list of apps that are listed to work in HS hosted in these Forums, in the form of a wiki:
https://forums.macrumors.com/threads/macos-high-sierra-10-13-works-does-not-work-thread.2048660/
And a list of Apple Pro Apps that won't/will work over at iMore:
https://www.imore.com/heads-these-apple-pro-apps-wont-work-high-sierra
I run a small company and shut down all updaters on my workstations (both Macs and PCs) and blocked the MAS in my routers; I won't be updating them until all of the apps we need are certified for HS. I called and asked Adobe customer service for a link to a "list" and was told they don't have one, and was referred to their Support site.
One of my go-to apps is Illy CS and I still run an older Mac just for PS 5.5. I already know that AutoCAD 2017 doesn't work, so my updates on those Macs will be delayed. Illy CC 2017 is listed in the MR post, but I'm surmising that the poster upgraded and not clean-installed HS - the installer for Illy just won't run on a clean install and I found this link on Adobe's Help/Support portal:
https://helpx.adobe.com/illustrator/kb/illustrator-and-mac-os-high-sierra.html
Keep in mind that Adobe hasn't updated several of their utilities - including ACR - to 64-bit. Adobe After Effects Render Engine, Adobe Application Manager, Adobe Application Updater, Adobe Desktop Service, Adobe License Utility, Adobe IPC Broker, the CC installer/uninstaller, and AFAIK all of the utilities in the Application Support folder (including the un-installers) are all 32-bit.
Related to this thread IMHO is that some of my drivers/engines for my printers and plotters are still 32-bit (grumble…), keep that in mind for an updated OS. Many of my plug-ins are still 32-bit (again, grumble…).