I was also going to note that the battles are very Euro-centric and pretty biased. Look at what the guy has to say about Persians in just a few lines.
I’ve got a book that highlights quite a few battles, all the way up to former Yugoslavia.
The battles which stand out to me (I don’t know them all, even after cursory checking on the ones I’m not familiar with): Tours, Hastings, Spanish Armada, Saratoga, Valmy, and Waterloo. Tours, Hastings, Armada, & Waterloo were all about stopping/reversing the flow of power; Valmy and Saratoga were integral in the US and French Revolutions and showed the power of a volunteer army.
I would also include the suggestions of Metz/Sedan in uniting Germany, the First Marne for stalling a German victory, Tsushima for showing that war doesn’t mean the biggest gun (or boat) and rising power in Japan, Stalingrad (imagine if Hitler went for Moscow instead?), Midway, the entire Mongol Conquest (Japanese exception), Battle of Britain (ushered in Air Superiority for the Allies - which was an enormous strength).
My suggestions are:
Battle of Sekigahara - unified Japan and established the Tokugawa shogunate which ruled Japan for hundreds of years. Its isolationist policies, which led to Western pressure, eventually gave way to the Meiji Restoration. That, in turn, went on to form the power of Japan seen in some of the other battles listed here.
Battle of Chi Bi - Besides being a pivotal battle in post-Han China (Three Kingdoms Period), it is said to be one of the most lethal, and involved naval and land forces. The allied efforts of the Shu and Wu forces somehow overcame the far more numerous Wei forces, and allowed them to set up their own domains (Wei was far more dominant). I also just found out that it’s being made into a movie by John Woo starring Chow Yun Fat.
D Day - the sheer size of this naval invasion is impressive, not to mention the organization, collaboration with French Resistance, and the fact that it totally caught the Germans off guard. It was inevitable, but I think it succeeded quite well.
Pearl Harbor - Reinforced the importance of carriers, sneak attacks, and air power. We were pretty lucky not to have our own carriers caught in the fight - if we did, the Pacific war would have dragged on a lot longer.
Yorktown - Got the Brits to finally admit US sovereignty (uh oh, there goes the neighborhood).
Okinawa - not only one of the most fierce and bloody battles in the Pacific War, I believe that it had a major influence on the use of atomic bombs.