I have a standard user profile form. But now I would like that the user can upload images in new subfolder and make own subfolder. Is there any solution or a plugin for this?
No idea if it lets users create subfolders on the front-end, but this is the closest plugin I could find: https://straightupcraft.com/craft-plugins/assets-browser
If that doesn't do it, most likely you'd need to do some custom plugin work to do what you're looking for.