How to download references to database that a paper includes and all articles that cite the paper? I have some papers for which I want to somehow download an easily manipulated (CSV, Excel) list of references and list of papers which cited the given paper.

On Google Scholar, one can see a "Cited By" option, but there is no way to download this list in bulk. Also, there is no option to get the list of references that the paper made. Although one can look at the paper itself for this information, I'd want a way to get these as a CSV or Excel.

Is there any way to do this?
Yes, use Web of Science (Thomson Reuter's) database called Cited Reference Searching.  You can download a list of citations, which can be exported as *.csv.  Here is a link showing some of the basic functionalities.