I most often run into using super() with __init__(). This makes the problem with calling super from a specific superclass very obvious. Every class along the hierarchy needs to ensure that it's __init__() gets called (or you end up with a Franken-object that hasn't been properly initialized).

I can't remember a time when I've had a class that multiply inherits and I want to change which superclass overrides on a per-method basis (i.e. given class A(B, C), some method A.foo() should call B.foo() and some method A.bar() should call C.bar(), although both B and C can both bar() and foo()). However, I grant that that _could_ happen. I don't have a solution right now that's better than explicitly referring to the unbound method of the subclass to whose implementation you want to refer.