I can confirm -- Vergina is incredible. My wife and I visited Greece in 2021 and road-tripped around most of the country and went to most of the major archaeological sites and museums, and The Archaeological Site of Aigai in Vergina was probably the most awe-inspiring stop on the trip (at least in terms of historical value). It was so beautiful and humbling, and so special to see the tombs still in their original places, and all of the artifacts on site were found there as well. Highly recommend. We practically had the place to ourselves in late September. In fact, other than Athens, most of our trip was devoid of crowds in late September/early October.
Given how much of an impact the ancient Greeks have had on modern society, I think it's worth seeing as many of the major sites as you can -- I absolutely loved soaking up the history and art at Delphi, Ancient Olympia, The Acropolis Museum, etc! But you really can't go wrong with any part of Greece. We adored our time there, including the major touristy sites and cities.
A couple of our other favorite, less busy stops were:
Metsovo - a beautiful mountain town with a different feel from a lot of other parts of Greece, and has a bit of a unique wine history.
Epidavros - the most amazing ancient amphitheater with unbelievable acoustics, and it's enormous!
Nafplion - beautiful, coastal town with stunning old-town architecture and forts/castles. We were also here when a travelling market came through, which was so cool!