There are numerous issues that have options which lead to civil rights increasing. Whenever an issue appears about whether to ban a book or allow publication, choose the latter. Tolerating any and all speech, accepting gay marriages, allowing gun ownership, allowing various drugs and smoking in public places, tolerating public nudity, tolerating cannibalism, not requiring mandatory vaccinations, and such typically increase civil rights. You can have a reasonably high level of civil rights without accepting every single of those, if you prefer to choose some and reject others.
If you want to see possible stat changes on issues, this website is very helpful:
http://www.mwq.dds.nl/ns/results/There are many variables and factors that affect the exact changes on a specific nation. Although the particulars of a given nation means that surprising results can happen, that site's information is extremely useful when trying to understand what impacts options will have.