Moving fin?

Many planes have a fixed tailplane and moving elevator, usually at trailing end of tailplane.
However, some planes move the whole tailplane and call it stabilator.
Many planes have a fixed fin and moving rudder at the trailing edge of fin.
Which planes move the whole fin? And what is it called? Stabiludder?
However, some planes move the whole tailplane and call it stabilator.
Many planes have a fixed fin and moving rudder at the trailing edge of fin.
Which planes move the whole fin? And what is it called? Stabiludder?