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Index to the language reference, yes.  And I think the
types of classes should be lifted to the header of a
paragraph.  Maybe just something like this, before
the Programmer's note:

New-style vs. old-style/classic classes:
Subclasses of 'object' are called new-style classes, other
classes are called old-style or classic classes.  Note
that all standard types such as 'int' and 'dict' are
subclasses of 'object'.  [If that latest part is true.
It seems to be about right, anyway.]

Maybe you had better also explain here or in section 3.1
(Objects, values and types) that not all objects are
subclasses of 'object'.