The following examples rely on at least one private API. They should be changed to not use the private API, or, if that's not possible, we should discuss how to make that API public.

Fixed in #13202:

• https://github.com/matplotlib/matplotlib/blob/master/examples/axes_grid1/demo_axes_grid2.py
• https://github.com/matplotlib/matplotlib/blob/master/examples/axisartist/demo_curvelinear_grid2.py
• https://github.com/matplotlib/matplotlib/blob/master/examples/axisartist/demo_floating_axes.py
• https://github.com/matplotlib/matplotlib/blob/master/examples/axisartist/demo_parasite_axes.py

Still need fixing:

• https://github.com/matplotlib/matplotlib/blob/master/examples/userdemo/custom_boxstyle02.py
  is now the second example of https://matplotlib.org/devdocs/gallery/userdemo/custom_boxstyle01.html