要解决AutoCompleteTextView显示的下拉选项超出屏幕的问题，可以尝试以下方法：

1. 使用PopupWindow：

   AutoCompleteTextView autoCompleteTextView = findViewById(R.id.autoCompleteTextView);
   ArrayAdapter adapter = new ArrayAdapter<>(this, android.R.layout.simple_dropdown_item_1line, data);
   autoCompleteTextView.setAdapter(adapter);
   
   // 获取屏幕宽度
   DisplayMetrics metrics = new DisplayMetrics();
   getWindowManager().getDefaultDisplay().getMetrics(metrics);
   int width = metrics.widthPixels;
   
   // 创建一个PopupWindow，将AutoCompleteTextView作为content view
   PopupWindow popupWindow = new PopupWindow(autoCompleteTextView, width, WindowManager.LayoutParams.WRAP_CONTENT);
   popupWindow.setOutsideTouchable(true);
   popupWindow.setFocusable(true);
   
   // 设置PopupWindow的高度为自适应内容
   autoCompleteTextView.post(new Runnable() {
       @Override
       public void run() {
           popupWindow.setHeight(autoCompleteTextView.getHeight() * data.size());
       }
   });
   
   // 显示PopupWindow
   autoCompleteTextView.setOnClickListener(new View.OnClickListener() {
       @Override
       public void onClick(View v) {
           popupWindow.showAsDropDown(autoCompleteTextView);
       }
   });
   

2. 使用自定义下拉框：

   AutoCompleteTextView autoCompleteTextView = findViewById(R.id.autoCompleteTextView);
   ArrayAdapter adapter = new ArrayAdapter<>(this, android.R.layout.simple_dropdown_item_1line, data);
   autoCompleteTextView.setAdapter(adapter);
   
   // 自定义下拉框的最大高度
   final int maxHeight = 400;
   
   // 监听AutoCompleteTextView的焦点变化
   autoCompleteTextView.setOnFocusChangeListener(new View.OnFocusChangeListener() {
       @Override
       public void onFocusChange(View v, boolean hasFocus) {
           if (hasFocus) {
               // 获取屏幕高度
               DisplayMetrics metrics = new DisplayMetrics();
               getWindowManager().getDefaultDisplay().getMetrics(metrics);
               int screenHeight = metrics.heightPixels;
   
               // 获取AutoCompleteTextView在屏幕上的位置
               int[] location = new int[2];
               autoCompleteTextView.getLocationOnScreen(location);
               int y = location[1] + autoCompleteTextView.getHeight();
   
               // 计算下拉框的高度
               int dropdownHeight = Math.min(screenHeight - y, maxHeight);
   
               // 设置下拉框的最大高度
               autoCompleteTextView.setDropDownHeight(dropdownHeight);
           }
       }
   });
   

这些方法可以根据屏幕的大小和AutoCompleteTextView的位置，调整下拉选项的高度，确保下拉选项不会超出屏幕。