I think the screen possibly repaints now

src/main/java/com/gmail/vitalatron/game/exec/GameTask.java

@@ -2,6 +2,13 @@
 
 public interface GameTask {
 
+    public static GameTask EMPTY = new GameTask() {
+        @Override
+        public void execute(double delta) {
+            // empty
+        }
+    };
+
     public abstract void execute(double delta);
 
 }

src/main/java/com/gmail/vitalatron/game/visual/AbstractGameWindow.java

@@ -0,0 +1,39 @@
+package com.gmail.vitalatron.game.visual;
+
+import com.gmail.vitalatron.game.exec.ExecutorGameLoop;
+import com.gmail.vitalatron.game.exec.GameTask;
+import com.gmail.vitalatron.game.exec.TimedLoop;
+
+import java.util.ArrayList;
+import java.util.List;
+
+public abstract class AbstractGameWindow implements GameWindow {
+    protected final List<Drawable> drawableItems = new ArrayList<>();
+    protected TimedLoop repaintLoop;
+    protected GameTask repaintTask = GameTask.EMPTY;
+
+    public AbstractGameWindow() {
+        repaintLoop = new ExecutorGameLoop();
+        repaintLoop.addTask(repaintTask);
+    }
+
+    @Override
+    public void setFps(int fps) {
+        repaintLoop.setIterationsPerSecond(fps);
+    }
+
+    @Override
+    public void addDrawableItem(Drawable drawable) {
+        drawableItems.add(drawable);
+    }
+
+    @Override
+    public void removeDrawableItem(Drawable drawable) {
+        drawableItems.remove(drawable);
+    }
+
+    @Override
+    public void clearDrawableItems() {
+        drawableItems.clear();
+    }
+}

src/main/java/com/gmail/vitalatron/game/visual/Drawable.java

@@ -0,0 +1,7 @@
+package com.gmail.vitalatron.game.visual;
+
+import java.awt.*;
+
+public interface Drawable {
+    public void draw(Graphics2D g);
+}

src/main/java/com/gmail/vitalatron/game/visual/DrawableSet.java

@@ -0,0 +1,28 @@
+package com.gmail.vitalatron.game.visual;
+
+import java.awt.*;
+import java.util.List;
+import java.util.ArrayList;
+
+public class DrawableSet implements Drawable {
+    private final List<Drawable> drawableItems = new ArrayList<>();
+
+    @Override
+    public void draw(Graphics2D g) {
+        for (Drawable d : drawableItems) {
+            d.draw(g);
+        }
+    }
+
+    public void add(Drawable drawable) {
+        drawableItems.add(drawable);
+    }
+
+    public void remove(Drawable drawable) {
+        drawableItems.remove(drawable);
+    }
+
+    public void clear() {
+        drawableItems.clear();
+    }
+}

src/main/java/com/gmail/vitalatron/game/visual/GameWindow.java

@@ -1,6 +1,15 @@
 package com.gmail.vitalatron.game.visual;
 
+import java.awt.*;
+
 public interface GameWindow {
     public void show();
     public void close();
+    public void setIcon(Image icon);
+
+    public void setFps(int fps);
+
+    public void addDrawableItem(Drawable drawable);
+    public void removeDrawableItem(Drawable drawable);
+    public void clearDrawableItems();
 }

src/main/java/com/gmail/vitalatron/game/visual/Sprite.java

@@ -0,0 +1,12 @@
+package com.gmail.vitalatron.game.visual;
+
+import java.awt.*;
+
+public class Sprite implements Drawable {
+
+    @Override
+    public void draw(Graphics2D g) {
+
+    }
+
+}

src/main/java/com/gmail/vitalatron/game/visual/SwingGameWindow.java

@@ -1,14 +1,33 @@
 package com.gmail.vitalatron.game.visual;
 
+import com.gmail.vitalatron.game.exec.GameTask;
+
 import javax.swing.*;
 import java.awt.*;
 
-public class SwingGameWindow implements GameWindow {
+public class SwingGameWindow extends AbstractGameWindow {
     public static final Dimension DEFAULT_FRAME_SIZE = new Dimension(400, 400);
     private final JFrame frame;
 
+    public SwingGameWindow(String title) {
+        this(title, DEFAULT_FRAME_SIZE);
+    }
+
     public SwingGameWindow(String title, Dimension size) {
-        frame = createGameFrame(title, size);
+        final Canvas canvas = new Canvas();
+        frame = createGameFrame(title, size, canvas);
+
+        repaintTask = new GameTask() {
+            private Canvas c = canvas;
+
+            @Override
+            public void execute(double delta) {
+                Graphics2D g = (Graphics2D) c.getGraphics();
+                for (Drawable item : drawableItems) {
+                    item.draw(g);
+                }
+            }
+        };
     }
 
     @Override
@@ -31,11 +50,17 @@ public void run() {
         });
     }
 
+
+    @Override
+    public void setIcon(Image icon) {
+        frame.setIconImage(icon);
+    }
+
     public JFrame getFrame() {
         return frame;
     }
 
-    protected static JFrame createGameFrame(String title, Dimension size) {
+    protected static JFrame createGameFrame(String title, Dimension size, Component screenComponent) {
         JFrame frame = new JFrame(title);
 
         // position
@@ -51,6 +76,10 @@ protected static JFrame createGameFrame(String title, Dimension size) {
         frame.setFocusTraversalKeysEnabled(false);
         frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
         frame.setUndecorated(true);
+        screenComponent.setFocusable(false);
+
+        // placing components
+        frame.getContentPane().add(screenComponent);
 
         return frame;
     }