different types and grades of portable apps?!

Do I have an understanding problem?
By looking for portable apps I stumbled upon different ones?
I think it's about 3 to 5 types or so.
I will try to explain or give examples and hope for explanations.

What it says:
- native portable app
- exe file with portable option
- Installed version can be launched in "portable" mode as well

The 3 are what I can remember at the time.
I think only John knows all types and the differences as he is since 20 years in the topic.
I hope for explaination / clearence.
Thanx!