I haven't gone mad, I promise
It was a well-known console franchise - Super Monkey Ball - that first showcased the iPhone's gaming capabilities, back in 2007. But the iPhone certainly didn't become the home of console conversions. After several early attempts tried (and mostly failed) to emulate the console experience on mobile, the two platforms went their separate ways.
The touch-screen controls, lack of a universal (and cheap) controller and totally different attitude towards purchases have proven... 'problematic'. But even so, I sincerely believe the following console games would nonetheless be even better on iPhone. Yes, I do feel OK, thank you - why do you ask?
It's almost as though Animal Crossing was designed for a mobile phone. The hardware has a consistent clock for real-world calendar functionality. It's always connected so friends can visit easily. It is intended to be played every day when you have a few minutes, and opens and closes easily.
The game's cute, colourful graphics would perfectly suit iPhone. The multi-touch interface would be even better than 3DS' stylus control for inventory management, minigames and rearranging furniture. DLC could be provided automatically, there could be cross-save functionality with an iPad edition (which would also be fantastic) basically this is an iPhone game ON THE WRONG PLATFORM.
Back in the halcyon days of 1997, I tried playing Wipeout 2097 with my Sega Saturn's Arcade Racer steering wheel. The wheel has no pedals, and no rumble, let alone Force Feedback. But you know what? It felt amazing with Wipeout. That sensation of not being in contact with anything that made Sega Rally Championship feel so detached was instantly a bonus. It felt like I was piloting an anti-gravity machine.
So the floaty, gyroscopic control of an iPhone would surely feel amazing with Wipeout. You could dive or pull the nose up through subtle tilting, and this ease of motion would leave your thumbs free for braking and firing your weapons. AG Drive has proven that iPhone can handle beautiful anti-gravity race tracks, but Wipeout is a more involved and driveable experience. iPhone would feel better than analogue sticks in this instance, I'm sure of it.
Flying games don't always feel as good as perhaps they should on the iPhone, but Pilotwings' more nuanced, deliberate controls would suits gentle titling far better than coaxing your glider through the skies using a thumbstick or circle pad.
The beauty of the environments would benefit massively from the retina display, too, and the pick-up-and-play nature of its short challenges would also be perfect for those 'I've got six more minutes until the pasta's cooked' moments.
Everybody's Gone to the Rapture
This may sound like an odd choice, but it's actually very similar to several iOS concepts that worked well. Prope Discoverer and Epic Citadel that focused on creating a beautiful, explorable environment that pushed the platform's graphical capabilities while providing a slow-paced, interaction-light experience. Even so, they were fascinating.
Those concepts share many features with Everybody's Gone to the Rapture. Recreating The Cinese Room's beautiful and startlingly naturalistic visuals on mobile would be a tricky task, but iPhone 6 is certainly capable of giving it a good go. And the slow-paced, observation-heavy gameplay is perfect for the touch screen's interface. A gyroscopic 'look' function would also add to the experience.
Super Mario Maker
OK, so this isn't even out yet, but the premise arguably suits a multitouch display better than Wii U's single-touch input. Sure, the iPhone's screen is small, but imagine using the pinch to zoom in and out of your created level, then drag blocks and enemies onto the scene. It would work so smoothly.
And if you're concerned about the controls of actually playing the game being imprecise, don't forget there are game pads available for iPhones. You could enjoy the pixel-perfect 2D platforming experience anywhere, make levels anywhere and upload them for your friends to enjoy you guessed it anywhere.
OK, this isn't even a thing on consoles any more, let alone iPhone. But imagine the terror if using an iPhone's gyroscoping motion sensing control to look around the hallway and bathroom in real-time. You literally wouldn't want to turn around for fear of Lisa waiting to scream at you.
Imagine doing that in the dark, with headphones on. Seeing as the game was always free anyway, acting as a teaser for the now-never-to-be-release Silent Hills, that would have been the cheapest laxative available. Such a pity it'll never happen.