Gaga often times sounded horrible while singing DITD and I never really liked DITD live. While I do believe the DITD intro is more of an intro, I like the premise of the BTWB intro a lot better.
We've only seen the BTWB intro once, so a comparison is unfair at this point in time.
Dance in the Dark. It had the amazing intro video and countdown, the D-D-D D-D intro, and the amazing song.
Highway Unicorn is not as exciting, partially because of the music of Highway Unicorn but also because its comes after a not-so-amazing thumping noise. The theming for HU is also kind of quiet and understated, while DITD sounds like a party from the get-go.