Criterion John Cassavetes: Five Films boxset is very similar but better to BFI counterparts because the BFI encoding has a gamma bug that raises brightness level. Not sure about FR releases.
Video: all same HD restoration but encoding Criterion is better
Audio: BFI has better bitrate, but same audio tracks, so likely no difference
While boxsets only have 5 films, you can see the rest in the table below. Notably, Minnie and Moskowitz is the only movie without a bluray, and Big Trouble is available as bluray in a 4-film collection.
A Woman Under the Influence and Faces, Shadows have great new restorations by Ross Lipman at UCLA, but not released in discs according to DVDBeaver
