Sprite Animation. One method of doing fast image animation is with sprite sheets. Sprite sheets are all of the frames of an animation contained within the same image. The sprite component copies each frame from the bitmap and paints it in the same place over and over creating an animation. There is a TSprite component for Delphi Firemonkey that does this for you. Bitmaps are generally faster than vector drawing every frame on mobile devices.
Drawing & OpenGL. Most games have custom drawing of some kind. If you are looking to do any kind of custom drawing with Delphi Firemonkey there is a drawing example app available with quite a few functions implemented and there is also a native drawing API demo for IOS. If you want to do drawing using OpenGL directly and not just the Firemonkey functions Jim McKeeth has a blog post up with a roundup of using OpenGL with Delphi XE6. Lastly the Box2D physics engine for Firemonkey has extensive drawing examples using a TPaintBox.
Bitmap Caching. Whether you are moving one Firemonkey control around the screen or hundreds of controls around the screen you can probably benefit from image caching. On mobile devices moving bitmaps around is generally faster than letting Firemonkey manually draw every frame when nothing changed from the previous frame. Drawing your control once and then caching it as a bitmap for each additional draw is one method to accomplish this. There is a component called TImageCacheLayout that does this for you automatically. One other trick you might try to get faster drawing with Firemonkey is using a TRectangle instead of a TImage for a lighter bitmap control.
Collision Detection. Collision detection is the backbone game mechanic behind a lot of games. Every time two different objects intersect each other collision detection occurs. There are three different collision detection examples which include point based collision detection, rectangle based collision detection, and finally automatic collection detection with the Box2d for Firemonkey physics engine.
Physics Engine. Using a physics engine can greatly speed up game development because you don’t have to manually code things like gravity, buoyancy, and collision detection. You can also build complex objects that mimic real world functionality. There is a Firemonkey version of the Box2d physics engine with over 60 different demos to base a game off of including vehicle simulations, bridge simulations, an Arkanoid demo, and many more. There is a visual world editor for Box2d called RUBE which exports it’s world as JSON which can easily be imported into Delphi Firemonkey.
Artificial Intelligence. If you are looking for the characters in your games to have some kind of intelligent response to the players you need artificial intelligence algorithms. There are two different Delphi Firemonkey component suites that implement artificial intelligence functionality like neural networks. One component suite is called IntelligenceLab and the other is called Inference Engine from RiverSoftAVG.
Data Files. Most games use data files of some kind to either store levels, save the game state between play sessions, or even just storing settings of the player. In Delphi Firemonkey there are a lot of choices on how you can store your data. You can read and write simple text based files using TIniFile or you can use robust databases like SQLite for reading and writing blob data like images using FireDAC. If your game has some kind of online element to it you can use the TRESTClient controls for loading and saving data from a server.
Monetization. If you want to be able to monetize your games on mobile there are two different methods for doing so which are ads and in app payments. In Delphi XE5 there are some third party ad components for IOS and an AdMob component for Android. There is also a third party in app payment component for IOS. Delphi XE6 ships with AdMod and iAd components for Android and IOS in addition to an in app payment component which works for both Android and IOS.
High Score Systems. One thing that keeps players interested in a game is being able to compare their score against other player’s scores. Once a player has mastered a game a high score system can still keep them coming back again and again to see if they can beat the high score of other players. There is a Firemonkey example for saving user scores in the cloud using the Delphi XE5 TRESTClient components. There is also a PHP or ASP.NET server side high score system you can host yourself that can save and retrieve user scores from a MySQL database. Lastly on IOS you can plug into the Apple GameCenter API for storing high scores and other game data.
BONUS TIP: Third Party Libraries. You can always augment your Object Pascal development on Android and IOS by using existing third party libraries which may have been written in a lower level language. There are literally hundreds of existing third party libraries out there for you to access from Delphi Firemonkey. For Android devices you can load JAR files which contain Java libraries (.jar) and Android NDK libary files (.so). On IOS devices you can load static libraries (.a) to get access to additional functionality. For example, you could rapidly prototype with Box2d for Firemonkey and then if you need more speed you could import the Java version of Box2d or the C++ version of Box2d on Android.
Finally I have some advice for you on what kind of games you should build with Delphi XE5/XE6. Don’t try to build the next big 3D shooter or other super high frame rate games for hard core gamers because there are better tools to build those kinds of games (like Unity3D or Adobe Flash). Instead focus on casual games for mobile devices that Delphi Firemonkey can build well like dress up games, turn based games, classic adventure games, hidden object games, basic arcade games, drawing games, or board games using the camera. Delphi Firemonkey can excel at doing rapid application development for these types of games.