The universe painted is extremely engaging, from the cyber technology and philosophy to the architecture and design. However, one cannot get over the sub-par writing. The dialogue is absolutely cringy at worse and cliché at best.
While the premise is intriguing, there is little character development and when it happens, it seems to be more of a mutation from a stereotype to another: Kovacs remains the same macho guy that has sexual relationships with good looking women throughout the series. Ortega stays the same sexy, bad ass female that absurdly ends up having more authority than her boss at certain points in the series.
The naive sister becomes the evil villain obsessed with an unhealthy view of family relations. Almost all characters seem to be unmoved by ethical dilemmas and they advance in the plot mostly by shooting or torturing other people/AIs without showing remorse or thinking twice. That is a huge let down to people that were interested in finding out in what ways humanity would deal with ethical issues in such a complex and advanced technological era.
I would still recommend Altered Carbon to sci-fi fans, solely for the cyberpunk aesthetic and universe, but one should keep in mind that this is no Blade Runner or Ghost in the Shell. Enjoy!