I'm new to bitcoin and just learned that most (or maybe all) of the exchanges are working off-block, meaning that they don't really push data to blockchain most of the time.

Is there any altcoins or exchanges that store data in blockchains ? I'm doing researched project on the matter and trying to find exchange that have some of it's trading public.

As I understood from this outdated article, Kraken might been on-block exchange in the past.

BitSquare might be something I'm looking for, but I'm not sure exactly how does it work ?

Does ripple, ethereum or litecoin have this limition? Do exchanges publish data for those altcoins ?