Some of my favorite history books have been written by Jared Diamond. Guns, Germs and Steel: the fates of Human Societies and Collapse: How Societies choose to succeed or fail are the two that I've read. I want to read The Third Chimpanzee: The Evolution and Future of the Human Animal as I hear thats his best book.
I haven't read it, but the snippets I've heard or seen of
Collapse are atrocious collapsist primitivist nonsense and only make sense if you buy into the frankly laughable idea that capitalism is the only possiblity - it's less than three hundred years old for heaven's sake. England is three times older than that.
Guns, Germs, and Steel was pretty good though, even if Engels covered some of the basic points a hundred and fifty years previous. Also, to be hoenst I would trust someone with anthropological, archaeological, or even historical training to write a book covering science-y bits than the other way around.
Eric Hobsbawm's quadrilogy of world history -
Age of Revolution, Age of Capital, Age of Empire, and Age of Extremes - are some of the best overview works of modern history 1789-1991, even if they're getting on a bit by now. Howard Zinn,
A People's History of the United States and E.P. Thompson's
The Making of the English Working Class are also classics. (Hint: the best history is usually written by Marxists or people of a similar background.)
The French Revolution is one of those continually contested battlegrounds in history, and we're probably around due for another reinterpretation of it (anyone doing European history at undergraduate level, there's an idea, I think it's Marxism's turn to bat again). George Lefebvre is probably still pretty good, to be honest, as is George Rudé. (Yes I have a soft spot for Marxist historians - that's because a) unlike the average historian, they don't pretend to be ideologically unbaggaged, and b) they usually have a methodology, something the average historian lacks.)