I'm currently reading Arnold Toynbee's 'A Study of History.' (Who knows how far I'll get, it is 13 volumes.)
That is ancient.
There is a tradeoff in history, the more ground you cover, the less you have to say.
Anyway, I can suggest a bunch of good books. Let's start with What Hath God Wrought. It won the Pulitzer prize, and is the best writing I've ever seen in popular history. It starts with the end of 1812, and covers roughly the next 30 years. Until recently, despite being a history buff, I know almost nothing about that era, and thought not much happened. I couldn't have been more wrong.
Strictly speaking, Cities and the Wealth of Nations is not a history. But it's hardly your usual economics text. There are no numbers, and it starts in an Italian town that had been abandoned for about a thousand years. You can read it in a couple days, it's not long, or hard to read. But what it does is give you a nice feel for how economics works. In the world of history, economics is often the underlying force that shifts continents, making some regions rise, and others fall. Historians tend to overlook economics... Toynbee didn't, but his understanding was quite crude.
The next one isn't quite a history, although it has more things in it, that were written at the time it happened, than most actual history books. It's Killer Angels, and it's spectacularly good.
I'm not a big fan of biographies, but an exception is Truman by McCullough. Another one is Team of Rivals by Doris Kearns Goodwin. It's about Lincoln and the art of being president.
One last one, and I think every American should have to read this in high school: American Nations by Colin Woodard. It talks about regional differences, how they came about, how they still influence our life and politics.