QED: The Strange Theory of Light and Matter by Richard Feynman. [0] This is a series of four lectures given my Feynman on quantum electrodynamics for a lay audience, and it's rare in being comprehensible yet not so watered-down as to be wrong or confusing. Probably my all-time favorite science book. I've lent out and given away more copies than I can count.
-- 700 unusual science phenomena; each case is presented as a puzzle with an explanation in the back of the book. Physics, chemistry, biology, engineering
There's a nice series from MIR Publishers entitled "Science for Everyone"[1]. Some books are even written by Lev Landau. The series is destined to interest people.
On DNA/genetics:
Life's Greatest Secret, Matthew Cobb
Siddhartha Mukherjee's books: 'The Emperor of All Maladies' + The Gene are very good as an introduction (start off by watching the PBS documentary)
Jim Baggott's books are good on physics e.g. 'Mass'.
Also Jim Holt, though he was trained as a philosopher.
Penrose 'The Emperor's New Mind' etc are very good but not new.
[0] https://en.wikipedia.org/wiki/QED:_The_Strange_Theory_of_Lig...