1) Are there exceptions to the Ж, Ч, Ш, Щ consonant mutation? Most of the grammars, etc., I've seen mention mutation, but no exceptions. But, I do know, for example, that играть, whose stem ends with г, does not undergo mutation.
2) Is there a comprehensive listing of all verb types (e.g., "2nd conjug.," "verbs in -ова," etc.) and their rules, as a reference? Most of I've seen appear non-comprehensive, and/or disorganized.