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I found four recordings of the Schütz St. John's Passion. I purchased the first of these.

I have not purchased any of these. The samples for these two seemed to suggest a lesser choir, but it may just be a style of singing to which my ear is unaccustomed. However, if you buy one of these, please let me know. I'd like to hear the rest of the recording.
This recording contains only the final segment of the Passion.
This excellent compilation contains a wonderful rendition of the Thompson Alleluia.
This recording by the Cambridge Singers is a good source for the Farrant Hide Not Thou Thy Face.

Several other of my favorite choral recordings may be found here.