My original hometown where I was raised is itself in Jericho category. Varanasi (Banaras, Kashi) is among the oldest and holiest cities in India, and a great tourist attraction. Some of the inner city lanes are just wide enough for a single normal person to pass. A few old and collapsing mudbrick walls look positively antediluvian.
The bathing "ghats" on the banks of the river Ganga go back a very long time and they are mentioned in our oldest scriptures, though the present forms are much more modern. Likewise, Sarnath on the outskirts of the city dates back to the Buddha, over two millennia ago. Ancient temples abound everywhere.
It's a continuously inhabited city that has been built over many times, but no proper archaeological research has ever been conducted partly due to rеligiоus disputes. Even so, the place has existed since at least the Vedic times, possibly even earlier. That puts the central part of the city at least five millennia ago, around 3000 BCE.