Not perfect, but in addition to contact management, Google Contacts has many of the functions you are looking for, including birthday, Custom fields (so you can

Not perfect, but in addition to contact management, Google Contacts has many of the functions you are looking for, including birthday, Custom fields (so you can add likes / dislikes), freeform notes, related people, Custom events (so you can add anniversary, important dates, etc) All the dates you add (including custom ones) will show up on your Google Calendar automatically.