Those books simplify a lot of complicated scientific ideas, e.g. Dawkins really gives you a concise and easy to digest view on Evolutionary Game Theory.
As for New Scientists, most of it is rubbish. Some of it is interesting every now and then, but for the large part, it's not that good, and the focus lately has been on physics (uncertainty principle not being uncertain etc)
Nature is a real journal, although I probably wouldn't understand any of it.
Research papers?? Good luck trying to understand them at this stage