Burana Tower is what remains of Balasagun, once a major city on the Silk Road and, for a period, capital of the Karakhanid state. The minaret itself dates to the 11th century — its top section collapsed centuries ago in an earthquake, which is why it now stands shorter and stockier than a typical minaret.
Around its base is an open field of balbal — carved stone figures gathered here from sites across the region, most dating from the 6th to 10th centuries, thought to mark graves of Turkic nomadic leaders. A small on-site museum fills in the rest of the story.
It's an easy climb inside the tower itself for a view over the Chuy Valley, and the whole stop takes under two hours — which is exactly why it works so well as a half-day trip rather than something that eats your whole layover.