There is a plug-in with a very simple user interface for detecting pitch, not surprisingly called “Pitch Detect” https://forum.audacityteam.org/t/pitch-detection-plug-in/29126/1
This could be easily modified to also output a “+/- cents” measurement against a given tuning standard (such as A440).
The plug-in is a Nyquist plug-in, which unfortunately have quite limited GUI options, so nothing as fancy as the pictures in your post. However, the algorithm could be implemented in C++ if a skilled C++ programmer were interested in doing so (my experience of C++ is very limited), or perhaps some clever way could be devised to provide a useful output even with the very limited GUI options in Nyquist. For example a series of labels showing the pitch, perhaps something like:
