Try this way I have managed using 
Dialogs
- A dialog is a small window that prompts the user to make a decision or enter additional information. A dialog does not fill the screen and is normally used for modal events that require users to take an action before they can proceed.
RecyclerView
- A flexible view for providing a limited window into a large data set. 
SAMPLE CODE
MainActivity
public class MainActivity extends AppCompatActivity {
    RelativeLayout myRelativeLayout;
    TextView tvText;
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);
        myRelativeLayout = findViewById(R.id.myRelativeLayout);
        tvText = findViewById(R.id.tvText);
        myRelativeLayout.setOnClickListener(new View.OnClickListener() {
            @Override
            public void onClick(View view) {
                showCustomDialog();
            }
        });
    }
    private void showCustomDialog() {
        final Dialog myDialog = new Dialog(this);
        myDialog.requestWindowFeature(Window.FEATURE_NO_TITLE);
        RecyclerView myRecyclerView;
        DataAdapter dataAdapter;
        ArrayList<DataModel> arrayList = new ArrayList<>();
        Button btnCancel;
        // setting custom layout in out dialog
        myDialog.setContentView(R.layout.custom_dialog_layout);
        // findViewById for views inside dialog
        myRecyclerView = myDialog.findViewById(R.id.MyRecyclerView);
        btnCancel = myDialog.findViewById(R.id.btnCancel);
        // programatically setting hight and witdh of dialog
        Window window = myDialog.getWindow();
        window.setLayout(WindowManager.LayoutParams.MATCH_PARENT, WindowManager.LayoutParams.WRAP_CONTENT);
        // setting gravity of dialog so it will diaply in the center of screen
        window.setGravity(Gravity.CENTER);
        // setting TRANSPARENT Background to myDialog to display myDialog with rounded corner
        myDialog.getWindow().setBackgroundDrawable(new ColorDrawable(Color.TRANSPARENT));
        // adding data in to arrayList
        arrayList.add(new DataModel("Very Small", false));
        arrayList.add(new DataModel("Small", false));
        arrayList.add(new DataModel("Normal", true));
        arrayList.add(new DataModel("Large", true));
        arrayList.add(new DataModel("Very Large", true));
        // using DataAdapter.OnItemClickListener() getting result which item is selected in recyclerview
        dataAdapter = new DataAdapter(this, arrayList, new DataAdapter.OnItemClickListener() {
            @Override
            public void onItemClick(DataModel item, int position) {
                // setting result in a textview when user select recyclerview item
                tvText.setText(item.getName());
            }
        });
        // setting LayoutManager in myRecyclerView
        myRecyclerView.setLayoutManager(new LinearLayoutManager(this));
        // setting Adapter( in myRecyclerView
        myRecyclerView.setAdapter(dataAdapter);
        // click listner for btnCancel to dismiss myDialog
        btnCancel.setOnClickListener(new View.OnClickListener() {
            @Override
            public void onClick(View view) {
                myDialog.dismiss();
            }
        });
        // used for display Dialog
        myDialog.show();
    }
}
layout.activity_main
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent">
    <RelativeLayout
        android:id="@+id/myRelativeLayout"
        android:layout_width="match_parent"
        android:padding="5dp"
        android:layout_height="wrap_content"
        android:gravity="center">
        <TextView
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_alignParentStart="true"
            android:layout_centerInParent="true"
            android:padding="5dp"
            android:text="Language"
            android:textColor="@android:color/black" />
        <TextView
            android:id="@+id/tvText"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_alignParentEnd="true"
            android:layout_centerInParent="true"
            android:drawableEnd="@drawable/ic_arrow"
            android:gravity="center"
            tools:text="Deafult" />
    </RelativeLayout>
</LinearLayout>
layout.custom_dialog_layout
<?xml version="1.0" encoding="utf-8"?>
<android.support.v7.widget.CardView xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    app:cardCornerRadius="20dp"
    app:cardElevation="5dp"
    app:cardUseCompatPadding="true">
    <LinearLayout
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:layout_marginTop="10dp"
        android:layout_marginBottom="10dp"
        android:orientation="vertical">
        <TextView
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:gravity="center"
            android:padding="10dp"
            android:text="Text Size"
            android:textColor="@android:color/black"
            android:textSize="20sp" />
        <View
            android:layout_width="match_parent"
            android:layout_height="2dp"
            android:layout_marginTop="5dp"
            android:background="@android:color/darker_gray" />
        <android.support.v7.widget.RecyclerView
            android:id="@+id/MyRecyclerView"
            android:layout_width="match_parent"
            android:layout_height="270dp" />
        <Button
            android:id="@+id/btnCancel"
            android:layout_width="wrap_content"
            android:layout_height="wrap_content"
            android:layout_gravity="center"
            android:layout_marginTop="10dp"
            android:background="@drawable/round_button"
            android:paddingStart="50dp"
            android:paddingEnd="50dp"
            android:text="Cancel"
            android:textColor="#00b7ff" />
    </LinearLayout>
</android.support.v7.widget.CardView>
DataAdapter
public class DataAdapter extends RecyclerView.Adapter<DataAdapter.ViewHolder> {
    private Context context;
    private ArrayList<DataModel> arrayList = new ArrayList<>();
    private final OnItemClickListener listener;
    public DataAdapter(Context context, ArrayList<DataModel> arrayList, OnItemClickListener listener) {
        this.context = context;
        this.arrayList = arrayList;
        this.listener = listener;
    }
    private int lastCheckedPosition = -1;
    @NonNull
    @Override
    public DataAdapter.ViewHolder onCreateViewHolder(@NonNull ViewGroup viewGroup, int i) {
        View view = LayoutInflater.from(context).inflate(R.layout.custom_row_item, viewGroup, false);
        return new ViewHolder(view);
    }
    @Override
    public void onBindViewHolder(@NonNull DataAdapter.ViewHolder viewHolder, int position) {
        // here i'm changing the state of radio button based on user select
        viewHolder.radioImage.setChecked(position == lastCheckedPosition);
        viewHolder.tvTextName.setText(arrayList.get(position).getName());
        // this is condition is used to hide line from thr last recyclerview item
        if (position == arrayList.size()-1) {
            viewHolder.bottomLine.setVisibility(View.GONE);
        } else {
            viewHolder.bottomLine.setVisibility(View.VISIBLE);
        }
    }
    public interface OnItemClickListener {
        void onItemClick(DataModel item, int position);
    }
    @Override
    public int getItemCount() {
        return arrayList.size();
    }
    public class ViewHolder extends RecyclerView.ViewHolder {
        View bottomLine;
        RadioButton radioImage;
        TextView tvTextName;
        public ViewHolder(@NonNull View itemView) {
            super(itemView);
            bottomLine = itemView.findViewById(R.id.bottomLine);
            radioImage = itemView.findViewById(R.id.radioImage);
            tvTextName = itemView.findViewById(R.id.tvTextName);
            itemView.setOnClickListener(new View.OnClickListener() {
                @Override
                public void onClick(View view) {
                    arrayList.get(getAdapterPosition()).setSelected(true);
                    lastCheckedPosition = getAdapterPosition();
                    // getting result when user selecte radio button in your activity
                    listener.onItemClick(arrayList.get(lastCheckedPosition), lastCheckedPosition);
                    notifyDataSetChanged();
                }
            });
        }
    }
}
layout.custom_row_item
<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:layout_marginStart="10dp"
    android:layout_marginTop="10dp"
    android:layout_marginEnd="10dp">
    <TextView
        android:id="@+id/tvTextName"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_alignParentStart="true"
        android:layout_centerInParent="true"
        android:padding="5dp"
        android:textColor="@android:color/black"
        tools:text="TextName" />
    <RadioButton
        android:id="@+id/radioImage"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_alignParentEnd="true"
        android:layout_centerInParent="true"
        android:src="@drawable/ic__unchecked_radio_button" />
    <View
        android:id="@+id/bottomLine"
        android:layout_width="match_parent"
        android:layout_height="1dp"
        android:layout_below="@id/tvTextName"
        android:layout_marginTop="10dp"
        android:background="@android:color/darker_gray" />
</RelativeLayout>
ic__unchecked_radio_button.xml
<vector xmlns:android="http://schemas.android.com/apk/res/android"
        android:width="24dp"
        android:height="24dp"
        android:viewportWidth="24.0"
        android:viewportHeight="24.0">
    <path
        android:fillColor="#FF000000"
        android:pathData="M12,2C6.48,2 2,6.48 2,12s4.48,10 10,10 10,-4.48 10,-10S17.52,2 12,2zM12,20c-4.42,0 -8,-3.58 -8,-8s3.58,-8 8,-8 8,3.58 8,8 -3.58,8 -8,8z"/>
</vector>
ic_checked_radio_button.xml
<vector xmlns:android="http://schemas.android.com/apk/res/android"
        android:width="24dp"
        android:height="24dp"
        android:viewportWidth="24.0"
        android:viewportHeight="24.0">
    <path
        android:fillColor="#FF000000"
        android:pathData="M12,7c-2.76,0 -5,2.24 -5,5s2.24,5 5,5 5,-2.24 5,-5 -2.24,-5 -5,-5zM12,2C6.48,2 2,6.48 2,12s4.48,10 10,10 10,-4.48 10,-10S17.52,2 12,2zM12,20c-4.42,0 -8,-3.58 -8,-8s3.58,-8 8,-8 8,3.58 8,8 -3.58,8 -8,8z"/>
</vector>
round_button.xml
<?xml version="1.0" encoding="utf-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android"
    android:padding="10dp"
    android:shape="rectangle">
    <!-- this one is ths color of the Rounded Button -->
    <solid android:color="#476e6e6e" />
    <!-- this one is used to set radius of the Rounded Button -->
    <corners android:radius="50dp" />
</shape>
OUTPUT
Please check this video(output of above code) https://www.youtube.com/watch?v=hGf-30Oh8OM 
Screen-Shots


NOTE
You can also use PopupWindow to achieve this
- This class represents a popup window that can be used to display an arbitrary view. The popup window is a floating container that appears on top of the current activity.
Here are some good article for it