Rip to the hard drive using AnyDVD HD, which you already know how to do.
Download TSmuxeR and start it up. Open the BDMV folder in your ripped files from the blu ray movie, then open the Stream folder. You should see a list of m2ts files. Open the first one, it should be called 00001.m2ts. If the movie is entirely contained in the first m2ts, you’ll see a list of video, audio and subtitle streams.
Now, uncheck all the audio streams and subtitles that you don’t want. Click on the circle next to Create Blu Ray disk. Make a folder where you want to put the new copy on the hard drive. Then hit Start Muxing. You should get a new, complete blu ray movie containing only those streams that you want.
That is the simple way, but not all Blu Ray movies are entirely contained in the first m2ts file. Here is the sum total of what I know on how to deal with those. This is a quote from a thread over at doom9 on using BDEdit to identify those types of Blu Ray disks:
[I]BDEdit – Most discs contain a single M2TS stream that contains the entire movie. But some (e.g. discs with more than one version like theatrical and special) use multiple stream files. BDEdit identifies files that are linked together to make one “version”. TSMuxer can then be used to append them together.[/I] jdobbs author
I haven’t run into one of those yet, so can’t give you first hand experience. If you have problems, you might want to do some reading over at doom9.