How to get all the transactions which were received by some specific account (not necessary owned by me)? I need something like the list provided by the Etherscan.
IMHO the most comfortable solution is if you use the Etherscan API. With this, your problem is solvable with only one api call;) More info here at the Get a list of 'Normal' Transactions By Address paragraph.
Here is an example api call, which lists all the transactions received by the address:
Here you just have to replace the address field for the one you are interested in and at the end of the call insert your api key token. Good luck!