Anything by Oliver Sachs, V.S. Ramachandran, Stephen Pinker, Richard Dawkins, Richard Preston, or Matt Ridely gets my vote. They have all written a lot of books, so if you wanna go on a science reading binge, these guys are great.
Oliver Sachs, V. S. Ramachandran, and Stephen Pinker all write about neuroscience. Sachs and Ramachandran are slightly more technical, whereas Pinker caters to the more popular side, though none of them write things that are all that difficult to understand. Ramachandran's book Phantoms of the Brain is a classic.
Dawkins, as you know, has written a lot of things on evolution and genetics. He also ventures into philosophy in his book The God Delusion, which I found to be a very interesting and enjoyable read.
Richard Preston has written both fiction and nonfiction, mainly focusing on infectious diseases. The Hot Zone is an extremely well-written and well-researched book on the Ebola virus, and everyone with an interest in tropical medicine should read it. I've read it about five times because it was so good.
Matt Ridely writes a lot of nonfiction books about genetics, and it's both dumbed down enough so that people new to studying genetics can understand it, and thorough enough to make it interesting. The only caution I would give you is that a lot of his books were written 5 or 10 years ago, and the field of genetics has advanced a lot since then.
I'll write a post on excellent neuroscience authors/papers to look out for later, but right now I have to leave. Hope this was helpful, though!
OH I just remembered: E.O. Wilson is another author to look in to. I haven't read anything by him, but my boyfriend has, and he thought it was great. Wilson writes a lot about entymology, zoology, and genetics I think.