Helper.java

public class Helper {

    public void addInterface(SomeInterface some) {
    }

}

MockitoAnyVerisusIsATest.java

@RunWith(MockitoJUnitRunner.class)
public class MockitoAnyVersusIsATest {

    @Mock
    private Helper helper;
    
    @Test
    public void shouldVerifyCalledWithAnyArgumentsAtAll() throws Exception {
        new ObjectUnderTest(helper);
        
        verify(helper, times(2)).addInterface(any(ImplementationOne.class)); // class parameter is used to make the systems happy at compile time
    }
    
    @Test
    public void shouldVerifyArgumentsWereOfRightType() throws Exception {
        new ObjectUnderTest(helper);
        
        verify(helper).addInterface(isA(ImplementationOne.class));
        verify(helper).addInterface(isA(ImplementationTwo.class));
    }
}

MockitoAnyVersusIsAWrongTest.java

@RunWith(MockitoJUnitRunner.class)
public class MockitoAnyVersusIsATest {

    @Mock
    private Helper helper;
    
    @Test
    public void shouldVerifyCalledWithAnyArgumentsAtAll() throws Exception {
        new ObjectUnderTest(helper);
        
        verify(helper)).addInterface(any(ImplementationOne.class));
        verify(helper)).addInterface(any(ImplementationTwo.class));
    }
}

ObjectUnderTest.java

public class ObjectUnderTest {
    public ObjectUnderTest(Helper helper) {
        helper.addInterface(new ImplementationOne());
        helper.addInterface(new ImplementationTwo());
    }
}