Welcome! This forum has a treasure trove of great info – Scouters helping Scouters! Just a heads up, though - all content, information, and opinions shared on this forum are those of the author, not the BSA.
It would be helpful to be able to customize training reporting, similar to the roster report builder. For example, it would be helpful to have on a common report all of my registered adults that have completed SYT and Hazardous Weather Training (with expiry dates). And/or whatever other key training is helpful to our Committee to track for activity planning, etc.
Separate / related… it would be interesting as well to be able to track in Scoutbook Plus any First Aid, CPR/AED or WFA certifications.
The trained leader, SYT, and Hazardous Weather reports that you are looking for do exist in my.scouting. Only certain roles can access these.
One can enter first aid and CPR can be recorded in my.scouting (depending on role and can’t be self entered), but I don’t know of a report that can bring those up for multiple people. That would have to be an improvement requested via your council like @Stephen_Hornak mentioned.
The Training Manager at my.Scouting has a bit more flexibility with regard to training reports. You can run a Specific Training Course Report if you want to look for a particular course, such as Wilderness First Aid, CPR/AED, etc.