I know this could be considered naive. But the fact is that I'm a computer Science student who have done introductory course in data analysis (Coursera) and a Econometrics I course at my University. While I understood the concept of CI, still I feel that there are lot of missing elements in my interpretation. So I searched for what everyone should know about CI and couldn't find one. I feel that there should be one for the sake of Internet people. Maybe, this community can help the cause!
For @NickCox's comment : I'm uncertain about Why we can't say that the true value is present in the CI's ? Rather, we resort to the fact, that if we conduct the experiment 100 times, we will get the true value 95% times (if we take the pvalue is 0.05)