Yes, it seems you are a bit confused. I don't mean to be condescending, but you obviously missed the clear point of my post, as you started rambling off features of the GS3 compared to the iPhone 4, and insinuated that I have some inherent bias thats skewing my perspective. I clearly quoted another poster, who said they couldn't stand iOS because they had a list of things it "could not do" when compared to Android. I then asked him to list some, because I just came from an iPhone 4 and can't find many useful things that I can now do with Android that I couldn't do with iOS. I wasn't comparing the GS3 with the iPhone 4, or even the 5. I wasn't asking for a features comparison list. I was asking for things that Android can do that iOS cannot.
As for the GS3, it can do SVDO and use NFC, which the iPhone 5 can't (Edit: I was thinking of the CDMA iPhones with regards to SVDO; I forgot the GSM could do SVDO; Sorry) . SVDO may not be a deal-breaker, but from what I've seen on these forums, the NFC can become extremely useful. You can find possible applications of NFC all over the internet, but for now, the most useful things you can do with NFC are:
1.) Place NFC tiles in your doorway, car, desk, or whatever other places you frequent, that are set to turn on WiFi or your WiFi AP, turn off the cell radio, start playing a song, open your favorite game, whatever. It's like Tasker, but more specialized.
2.) I'm sure you've heard of NFC payments. I'm sure you've heard people with iPhones saying it's overrated because it's not widely adopted yet. That's kind of true. It's not widely adopted, but after using Google Wallet at a 7-11 a few times (the only place around here besides McDonald's that supports NFC; there's a Shell with PayPass, but it's broken, and I don't think they care to fix it), I can only expect it to become more prevalent, especially now that some carriers are finally rolling out ISIS. It's no more of a hassle than a credit or debit card, and I expect the phone to be a lot more versatile in the future. Mobile payment is going to be bigger.
3.) Initiate file transfers. I'm sure you've heard of S Beam and how it works. You may be wondering, if the file transfers over Bluetooth anyway, what makes this better than Bluetooth on the iPhone? Well, because you don't have to go through the hassle of pairing two devices together. The NFC connection takes care of the "hard part" for you.
For now, those are the main distinguishing factors between the GS3 (and Android in general) and the iPhone 5, in my opinion. I personally find a lot of Touchwiz features to be gimmicky and stupid. Some are good ideas with poor execution. Very few are actually useful (Smart Stay when it works, and Smart Rotation come to mind), so I don't consider Touchwiz much of a differentiator.
Does the iPhone 5 have Wifi Direct support? I'd assume any modern smartphone would, but if not, that's another useful thing that Android can do that iOS can't.
Oh, yeah, toggles. Turning radios/volume/brightness off/on/up/down via the notification pane is much easier than digging through menus. It's a small thing, but the frustration can add up when you have to go through settings menus to do everything.
Also, I was specifically avoiding talking about customization. If you want to get into that, there's a lot of "can't do"s for iOS that are "can absolutely do all day long"s in Android.
I know this kind of sounds like a features comparison list, but that's really the only way to explain what Android can do that the iPhone can't. I mean, technically, you could consider every little capability of the OS to be a "feature". If one has a capability that the other doesn't, it's exactly the same as saying it has a "feature" that the other doesn't. If this type of answer isn't what you're looking for, can you give an example of something iOS can do that Android can't that isn't a feature comparison?
Edit: The post above mine is a better answer. Oh, well. I tried.