Greg, unfortunately I believe that it is not possible to transfer most commercially made Blu-Ray discs and DVD's to a computer hard drive, because of copy protection provisions they utilize.
Also, even if it were possible in some cases I believe that you would have to subsequently process the files with a video editing program to convert them to something that the player would recognize. Files on computer hard drives and on optically read discs are structured differently. And the process of "building" a video file using a video editing program, especially with high definition material that would be used on a Blu-Ray disc, would be likely to require several hours or more per hour of material for typical computers to do the necessary processing.
Not sure what you are referring to when you mentioned Blu-Ray recorder cards. If you mean Blu-Ray drives which can burn Blu-Ray discs, their "recording" function is intended for creation of Blu-Ray discs from one's own material, in conjunction with video editing or other software.
Re your question about putting CD material onto your hard drive, for some particularly knowledgeable suggestions about what software to use see
this page at the Empirical Audio website. Steve N. of Empirical Audio is member "Audioengr" here at A'gon.
Regards,
-- Al