要在Android的DocumentsUI文件浏览器菜单中列出AppData，可以使用以下代码示例实现：

首先，在AndroidManifest.xml文件中添加以下权限：

然后，创建一个新的Activity，并在其布局文件中添加一个RecyclerView来显示AppData。例如，创建一个名为AppDataListActivity的Activity，并在其布局文件app_data_list_activity.xml中添加以下代码：

接下来，在AppDataListActivity的Java文件中，添加以下代码：

import android.os.Bundle;
import android.provider.DocumentsContract;
import android.support.v4.provider.DocumentFile;
import android.view.View;
import android.widget.AdapterView;
import android.widget.Toast;

import androidx.appcompat.app.AppCompatActivity;
import androidx.recyclerview.widget.LinearLayoutManager;
import androidx.recyclerview.widget.RecyclerView;

import java.util.ArrayList;
import java.util.List;

public class AppDataListActivity extends AppCompatActivity {

    private RecyclerView recyclerView;
    private AppDataAdapter appDataAdapter;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.app_data_list_activity);

        recyclerView = findViewById(R.id.appDataRecyclerView);
        recyclerView.setLayoutManager(new LinearLayoutManager(this));

        List appDataList = getAppDataList();
        appDataAdapter = new AppDataAdapter(appDataList);
        recyclerView.setAdapter(appDataAdapter);

        recyclerView.addOnItemTouchListener(new RecyclerView.OnItemTouchListener() {
            @Override
            public boolean onInterceptTouchEvent(RecyclerView rv, MotionEvent e) {
                View child = rv.findChildViewUnder(e.getX(), e.getY());
                if (child != null) {
                    int position = rv.getChildAdapterPosition(child);
                    AppData appData = appDataList.get(position);
                    Toast.makeText(AppDataListActivity.this, "Clicked: " + appData.getName(), Toast.LENGTH_SHORT).show();
                    return true;
                }
                return false;
            }

            @Override
            public void onTouchEvent(RecyclerView rv, MotionEvent e) {
            }

            @Override
            public void onRequestDisallowInterceptTouchEvent(boolean disallowIntercept) {
            }
        });
    }

    private List getAppDataList() {
        List appDataList = new ArrayList<>();

        DocumentFile appDataDir = DocumentFile.fromTreeUri(this, DocumentsContract.buildTreeUri(
                "com.android.externalstorage.documents",
                "primary:Android/data"
        ));

        if (appDataDir != null && appDataDir.isDirectory()) {
            for (DocumentFile file : appDataDir.listFiles()) {
                appDataList.add(new AppData(file.getName(), file.lastModified()));
            }
        }

        return appDataList;
    }
}

注意：在上述代码中，AppData是一个自定义的数据类，用于表示每个AppData的名称和最后修改时间。您可以根据自己的需要进行相应的修改。

最后，创建一个AppDataAdapter类来适配RecyclerView，例如：

import android.view.LayoutInflater;
import android.view.View;
import android.view.ViewGroup;
import android.widget.TextView;

import androidx.annotation.NonNull;
import androidx.recyclerview.widget.RecyclerView;

import java.text.SimpleDateFormat;
import java.util.Date;
import java.util.List;
import java.util.Locale;

public class AppDataAdapter extends RecyclerView.Adapter {

    private List appDataList;

    public AppDataAdapter(List appDataList) {
        this.appDataList = appDataList;
    }

    @NonNull
    @Override
    public ViewHolder onCreateViewHolder(@NonNull ViewGroup parent, int viewType) {
        View view = LayoutInflater.from(parent.getContext()).inflate(R.layout.app_data_item, parent, false);
        return new ViewHolder(view);
    }

    @Override
    public void onBindViewHolder(@NonNull ViewHolder holder, int position) {
        AppData appData = appDataList.get(position);
        holder.nameTextView.setText(appData.getName());

        SimpleDateFormat sdf = new SimpleDateFormat("yyyy-MM-dd HH:mm:ss", Locale.getDefault());
        holder.dateTextView.setText(sdf.format(new Date(appData.getLastModified())));
    }

    @Override
    public int getItemCount() {
        return appDataList.size();
    }

    public static class ViewHolder extends RecyclerView.ViewHolder {
        TextView nameTextView;
        TextView dateTextView;

        public ViewHolder(@NonNull View itemView) {
            super(itemView);
            nameTextView = itemView.findViewById(R.id.nameTextView);
            dateTextView = itemView.findViewById(R.id.date