Although it's true that Mark Wahlberg was offered the lead role in the upcoming reboot for The Crow, he ultimately decided not to take it, so thankfully Wahlberg will not be playing The Crow in the remake. In an interview with Cinematical Whalberg had this to say,
We never committed to making the movie. They talked to me about it and there was a director attached who I was a fan of, and he's no longer doing it. We just thought about it – 'is there something cool to be done there?' But we're not committed to making the movie.
Stephen Norrington was the director attached the movie but has since left the project, which is what ended up throwing everything off. I would say that's good new for fans of The Crow for now... we all know at some point this reboot will find it's legs and eventually get made. It just doesn't look like it will happen any time soon. At this point the studio needs to lock down a new director.