How to bring previous-buffer to cycle through the full list of buffers

[Jürgen Hartmann]

I know that in Emacs 24.5, but also earlier versions, there is is the
variable switch-to-visible-buffer whose default value t causes
switch-to-prev-buffer, and hence also previous-buffer, to cycle through all
buffers in the given window's history even if they might be visible in other
windows.

After the windows history is exhausted by repetitively applying
previous-buffer, the cycling continues with all the other buffers in the
global buffer list, but this time unconditionally skipping those of them that
are visible in other windows--regardless of the setting in
switch-to-visible-buffer.

Does anyone knows a way to bring previous-buffer to cycle through the whole
list of buffers regardless of their visibility elsewhere and regardless of
windows histories?

Any hint is greatly welcome.

Juergen