The problem with these is that without prior attribution I doubt that any of us would have pegged them as Bacharach compositions.
There are too many like this starting with the Bayer-Sager collaborations and stretching to the present.
Having said that, there are still glimmers of the old magic like "The Only Music I Understand".
If I heard "What's In Goodbye" on the radio, I would recognize it immediately as Bacharach. If it turned out to be somebody else, I would find everything written by that songwriter.