final stateAdapter stateadapter = new stateAdapter(this, StateList);
//customized adapter of state, it´s just an integer and a String

    StateSpinner = (Spinner) findViewById(R.id.spinner1);
    StateSpinner.setAdapter(stateadapter);

    StateSpinner.setOnItemSelectedListener(new OnItemSelectedListener() {
        @Override
        public void onItemSelected(AdapterView<?> parentView, View selectedItemView, int position, long id) {
            State state = (State) StateSpinner.getSelectedItem();
                            //Custom State Class, you may use your custom food class
            ArrayList<City> CitiesList = new ArrayList<City>();

            try {
                            //your new SQLite query to populate the CitiesList

                }
            } catch (Exception ex) {

            }

            cityadapter = new cityAdapter(MyActivity.this, CitiesList);
                            //customized adapter for cities
            CitySpinner = (Spinner) findViewById(R.id.spinner2);
            CitySpinner.setAdapter(cityadapter);

        }

        @Override
        public void onNothingSelected(AdapterView<?> parentView) {
            // your code here
        }
    });