Can you please bring each 2 project examples by using Critical Path Method & Critical Chain Method. (CPM & CCM)?

I wish I could but to be honest CPM is where my head is at right now

Critical Path Method for Project, it's each project has long duration to close the project activity or action (Task oriented), and may project has multi critical paths and near to critical path as well.

Whle the Critical chain methods focus on theory, constraint and resources, high level or wide range

Hope my answer is meet your query because you cant give an ideal example of such methodologies, it can be a part of each project that has a critical tasks or activity.