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Here I compare titles in common to MoC and Criterion. Will try to keep this updated but please leave comments if it is out of date/inaccurate.
Many Criterion releases have better (different at least) supplements so often it may be a good idea to hang on to the Criterion.
Some notable titles not in Criterion:
Touch of Evil
Gospel According to St. Matthew
Le Silence de la Mer (Melville)
Une femme mariee (Godard)
MoC features Lang, Murnau, Pialat, Pasolini, Imamura, Mizoguchi, Lubitsch, Ichikawa
Some different Antonioni, Sirk, Visconti, Franju, Ford
#1 Blu ray common to both.
Now for DVDs in Criterion that MoC has in Blu...
MoC also has the following in DVD, for what it's worth...