I really like the first book in this series. The other 2, less so, but they're still not bad.
The look of that trailer seems a bit too clean somehow, too antiseptic; at least compared to how I pictured the world the author was describing. Altered Carbon the book is more Noir detective genre, much less cyberpunk. For instance it's got the old noir/detective classic trope of "whenever the hero goes anywhere to investigate something, he's immediately accosted by random thugs who try to kill him, even though he doesn't know them or why they want him dead." I swear it happens every time Kovacs goes ANYWHERE, and it's almost lulzy how often it happens.
There's some great concepts to work with here though, lots of potential to make this into a great sci-fi series. I wouldn't even be that mad if they strayed from the book's plot a little, as long as they kept the main concepts of the setting intact. There's few books that I really like where I would say that, but I think this is one of those cases where the characters and the setting and concepts are so much more interesting than the plot.