Yes, Science partly does this too (I'm a subscriber). They have relatively simple abstracts that try to serve both purposes -- summary for laymen and experts -

Yes, Science partly does this too (I'm a subscriber). They have relatively simple abstracts that try to serve both purposes -- summary for laymen and experts -- but they are tilted more towards a non-specialist summary. The layout of PNAS really emphasizes the Significance statement. The best thing about Science for outsiders is the "Perspective" article that sometimes accompanies high-profile research articles. The "Perspective" places the more in-depth research article in context. It can be more valuable for an interested non-specialist than the research article itself.