It's been a little while since I've done this–I, at least temporarily, gave up the idea of buying something in the city–but I noticed similar trends to keerthiko. Similar to when I was actually looking at places with a broker.
I don't think I found a condo under 800k, while there are plenty of co-ops across the boroughs, including Manhattan, in the 300-800k range.
EDIT: just noted you said "in another place". In my experience it's very hard to find this information in America outside NYC without investigating individual buildings.
[0]: https://streeteasy.com/for-sale/nyc/price:300000-800000
Super interesting: "Today, there are over 1,100 HDFC coops that make up a significant part of the fabric of New York City's affordable housing stock. " https://www.nyc.gov/site/hpd/services-and-information/hdfc.p...
"5,578 NYC Co-ops and Apartments for Sale" https://streeteasy.com/coops/nyc
Though many of these might be from giant projects, it's still interesting. https://en.wikipedia.org/wiki/Mitchell%E2%80%93Lama_Housing_...
This is what you can do if you don't delegate all the management of the housing market to the Fed.
And even if you found a condo (usually 2x as expensive as a co-op for same QoL) without a board to reject you or just lived in a city without co-ops holding a lot of housing stock, banks have similar requirements in co-op applications as well. So you really need to have a massive income to go in without a >20% down.
Among the young people who may like to buy a house, this probably applies to a few rare folks working for a bay area tech company salary but are allowed to live in any other city where the home prices are more affordable.