By Penny Skateboards Australia - buy on iPhone and iPad
If you can get over the indignity of having to pay for an advert, you'll have a blast with Penny Time's awesomely stylish endless-runner-meets-rhythm-action gameplay.
By Mobigame - buy on iPhone and iPad
This polished 2D action game from acclaimed developer Mobigame is a bit like Shadow Complex, but the aim is to finish levels quickly. And you're a pink blob.
By Firi Games - buy on iPhone and iPad
The bullet-hell genre can be menacingly tough. Phoenix HD looks like a bullet-hell shmup, but its gameplay is stripped back to the point of supreme accessibility.
By Score Studios - buy on iPhone
Take the numbering of Picross and the non-overlapping lines of Flow Free: Bridges and you have a puzzler with numbering and non-overlapping lines.
|Piyo Blocks 2|
By Big Pixel Studios - buy on iPhone or iPad
Colourful match-three puzzler Piyo Blocks 2 achieves the impossible feat of standing out despite being a colourful match-three puzzler.
|Pizza Vs. Skeletons|
By Riverman Media - buy on iPhone and iPad
Excellent, beefy arcade casual game set in a universe where pizzas are somehow more frightening than skeletons.
By Jason Rohrer - buy on iPhone
This generic-looking puzzler from indie superstar Jason Rohrer is distinguished not only by its deceptively rich and challenging gameplay but also by its surprisingly poncy name.
By Fallen Tree Games - buy on iPhone and iPad
This quietly bizarre-looking game is one of those puzzlers where you have partial control over an object that moves until it hits something. It's pretty good.
By Red Zebra Games - buy on iPhone and iPad
With everything stripped away bar the boss fights, Raid Leader is a sort of mobile take on Shadow of the Colossus re-imagined as an RPG.
By Mr Qwak - buy on iPhone and iPad
Real Racing 3 may have all the gleaming polygons, but Retro Racing is every bit as accomplished in its own little way.
By YoYo Games - buy on iPhone and iPad
Nominative determinism is the phenomenon whereby people enter professions that reflect their names. Rick O'Shea is but one example.
By mugathur - buy on iPhone and iPad
This simple but ingenious multiplayer mash-up of Hungry Hungry Hippos and air hockey turns your iOS device into a group gaming hub par excellence.
By Buzz Monkey - buy on iPhone and iPad
Puzzle-platformer Rinth Island is about re-arranging the scenery as much as it's about moving your sprite, because, in the case of this game, sprite men can't jump.
|Robot Wants Kitty|
Buy on iPhone
This cutesy indie take on the Metroidvania formula boasts some trendy retro stylings, responsive controls, and smartly designed levels. Plus, cats and a robot.
By Hexage - buy on iPhone and iPad
Yet more splendidness from Hexage, this turn-based battler with RPG levelling and fruit machine twists of fate looks great and plays just as well.
By Fenix Fire - buy on iPhone and iPad
You probably think that the best platformers are on devices with physical controllers, and you're probably right. Roboto is a great platformer all the same, mind.
|Scarlett and the Spark of Life|
By Launching Pad Games - buy on iPhone
The point-and-click adventure genre has seen a resurgence on iOS, and Scarlett and the Spark of Life is one of the best examples in this field.
|Sentinel 3: Homeworld|
By Origin8 - buy on iPhone and iPad
If the pared-down tower defence gameplay of Fieldrunners is too simplistic for your liking, try this huge, detailed, serious, and ultra-tough game instead.
By Slick Entertainment - buy on iPhone and iPad
In Shellrazer, Slick Entertainment takes one of Mother Nature's most lugubrious children and turns it into a death machine in this slick, thumping, thoroughly touchscreen action romp.
By Gameloft - buy on iPhone
2009's Siberian Strike is a thumpingly fun and authentic homage to the top-down arcade blasters of yore. And a reminder of better days for Gameloft.
By Armor Games - buy on iPhone or iPad
What if Angry Birds were viewed from a first-person perspective? And what if you had to hit vikings instead of pigs? Siege Hero, that's what.
By Frank Condello - buy on iPhone
Forget everything you know about silverfish. This whip-quick neon twist on Geometry Wars's Pacifism mode is unlike anything you'll find in your cutlery drawer.
By Com2uS - buy on iPhone and iPad
Fruit Ninja is all very well, but what do you play if you're training to be a maths surgeon? You play Slice It!
By Snowbolt Interactive - buy on iPhone and iPad
In this clever racer, your input is limited to firing out a grappling hook to slingshot your car around corners. If it's good enough for Batman, it's good enough for you.
By Tatsuya Kaido - buy on iPhone and iPad
SlitherLink may sound like something out of Harry Potter, but it plays like something out of Puzzler Magazine. In a good way. If you're over sudoku, try this.
By Radiangames - buy on iPhone and iPad
You can work out what it is from the name. Radiangames's clever puzzler represents one of the few instances of a developer taking on Tetris and surviving.
By Mikengreg - buy on iPhone and iPad
In this achingly stylish take on the Canabalt ouevre, you control the landscape rather than the runner, creating jumps and hills with your finger as he barrels along.
|Song Summoner: The Unsung Heroes - Encore|
By Square Enix - buy on iPhone
Square Enix is known on the App Store for RPGs and rhythm-action games. Song Summoner is both. Squeenix uses your song library here to create units and experience points.
By Touch Foo - buy on iPhone or iPad
Rolando is the LocoRoco-esque platform game that everybody remembers from the dawn of the App Store, but Soosiz is every bit as enjoyable.
By Kydos Studio - buy on iPhone and iPad
What happens after you die? Your soul emerges from your body and you have to steer it past the horrors of the spirit world and get it to safety.
It goes without saying that there are bound to be literally trillions of other games that could have qualified for this list.
It would be immensely useful if you could point out how thick we are for omitting them by sharing your suggestions in the comments section below.