I second two of the recommendations here
Gibbon - The Decline and Fall of the Roman Empire
It's not easy to read, but worth the effort.
Will (and later Will & Ariel) Durant - History of Civilization. Particularly the earlier volumes.
(Both of the above, though, are rather "meaty"..... Gibbon was originally 8 volumes, although it's been "shrunk", not condensed, to 3 by Everyman's Library - and the Durant series is a life's work - fourteen volumes and they're all over a thousand pages! I think I've managed to read every volume of both, but not in order - they're in linear format, so you can read the sections that you are interested in, individually. Over about 25 years, I've made my way back to them hundreds of times, but I never bookmarked anything, so I can't say for certain that I've actually gone through every chapter of either.)
Seeing as to where I reside, my major disappointment has been in trying to locate a keep-on-the-bedside-table-worthy history of China. I think the the scope of the project requires another lifetime dedication like the Durants'. I'd like to recommend a "best so far", but I can't. Most of the readings I do on Chinese history are from University archives (the ones I can get into). If anyone knows a good tome, I'd be interested in hearing about it.