Is it permissible to download games and programs from the website (MYGIG) which publishes cracked games and programs, even though the manufacturing companies have not held the website accountable?

It is not permissible to deal with websites that steal games and infringe upon the rights of companies. The silence of companies regarding prosecuting these websites does not make it permissible to deal with them, because silence is not permission. Their explicit prohibition is stronger than the indication of their silence regarding consent, and the default is not to consider silence as consent.