To include part of a published paper in a dissertation? Context
It's becoming common in the natural sciences for grad students to include papers they have previously published as part of their dissertation as a &quot;sandwich thesis&quot; or &quot;stapled thesis&quot;. Some joke about merely &quot;stapling three papers together with an intro and conclusion&quot; and calling it a dissertation. This allows grad students to focus on doing research rather than writing a monolithic document in addition to any other publications.
My Concerns
This practice -- though I love the intent -- concerns me because I care about copyright issues. If I've published a paper, the publisher has the copyright, so I may not be able to use my own work in a dissertation that gets published.
My Question
Assuming that this practice is approved of by one's dissertation committee and university, how might one go about doing this correctly? What legal requirements might there be?
Although the following list of questions might be best split into multiple questions on this site, my intent is to clarify what kinds of procedures I'm asking about.

Which Creative Commons licenses would permit this?
Would one need to ask permission from the publisher(s) of the paper(s)? (I assume so....)
Does it matter whether or not the manuscript(s) are published under an open-access license?
Does it matter how the dissertation is published?
If this is allowed under any circumstances, how much modification is appropriate? Would the paper(s) need to be reproduced in their published form (i.e. with the publisher's typesetting et al.), or could the author copy-paste the text into their dissertation with new formatting?

I acknowledge that this question is similar to Can I use the work in my journal/conference publications as chapters in my dissertation?. Whereas that question broadly asked whether such a practice was permissible, I'm asking more about how to handle copyright issues — assuming one's committee and institution are okay with it.
The copyright issues are the same as always. If you don't hold copyright on something, say you have given it to a publisher, then you need permission from the copyright holder to reproduce it for publication. 

But you also need to be clear, if you just include copies of old work (copy paste) that you cite the original to avoid claims of self plagiarism. Claiming old work as new (or seeming to) is normally treated as an ethical lapse, similar to treating the work of others as your own. Cite and be safe. 

To me, a "stapled dissertation" should be exactly that. An introduction, some material tying everything together, a conclusion, and literally stapling copies of the old papers. I doubt that very many would agree with me, but if that is what it is, then present it as such. Those places that permit such dissertations believe that a doctoral should be awarded for a body of work not necessarily for a single major work. The philosophy is sound, though I've never used it. That is to say, the "joke" isn't really a joke. It is fine if permitted by your committee and university. 

Creative commons doesn't apply if you have all rights to your own work. Any license or no license would be fine. But it is the permission of the actual copyright holder that is needed. If they have licensed it generally under Creative Commons then it is likely that you can rely on the generally permissive nature of those licenses in your work. But if not, you can request permission (an individual license) to do what you want to do. I think that most reputable journals and conferences would be happy to give you back any required permissions, while they still hold the copyright.