VLC doesn’t seem to be playing nicely with this for me (it does not like Blu-rays with menus). I did my testing on PS4, PS3, PowerDVD, and Total Media Theatre. Your vlc may be set up better than mine, though.
How about MPC HC?
Looks like it works perfectly! Plays ANH by default but you can select playlist through the drop menu to 0001, which will be SW. No menu support, of course.
Why doesn’t it support menus?