are there any problems with programs that work with High Sierra when upgrading to Mojave?

In fairness & completeness of answer, "roaring apps" is of marginal value.

It is volunteer-driven, lags way behind on software releases. this is especially true with rarer professional apps. Notice all the blue "no-data" bubbles.

It is however, the place to go. Vendors tend to tell you when their app is thoroughly incompatible, but the lesser incompatibilities are not well told.

Yes. Some of them.

You can check software compatibility here:

https://roaringapps.com/

Just to add, you can also check with the developers.