Hopefully will have my PPL in spring, then I'll be thinking about tail wheels and aeros.
At my club one of the things we're offering is an "Unusual Attitude" experience flight. This flight is done in an aerobatics-capable plane (R2160) and with an experienced aerobatics instructor. It includes various types of stalls, a spin recovery, a spiral dive recovery and a few other things like that. And usually ends with some basic aerobatics maneuvers like a loop and a barrel roll.
Students are encouraged to do this flight either during their PPL training (although realistically you'd have to be at the end of your PPL training, not in one of the first few lessons) or shortly after obtaining their license. The hour flown during this experience flight will count towards the 25 dual/45 total for PPL license issue.
I definitely would recommend you do something similar during your PPL training. Sure, it's not in the official syllabus and is not strictly a requirement for PPL issue, but it will open your eyes as to what an aircraft is really capable of, what happens if you get things wrong and how to recover from that.