There are plenty of mobile games that measure up to that stuff, they're just not at the top of the App Stores because they don't move volume as fast as mini-games and F2P... and most of them are ports of classic titles.

For example, I played the heck out of Civilization Revolutions, Z Origins, Swords and Soldiers, and Bard's Tale on various mobile devices. Those all measure up in fun and complexity vs Nintendo's titles, although most of them are ports of older PC and console games.

Well, I'm referring more to original IP. Yes, there are ports, but ports just aren't all that interesting in the grand scheme of things. There are basically zero studios on mobile making games on Nintendo's level as first-class platform citizens.

Swords and Soldiers impressed the hell out of me, although it lacks online multiplayer. It's a very complete experience, as hand-held RTS games go. Also, I feel like "port from handheld device" isn't really too much of a port to complain about in the case of Civ Revolutions - a touch DS/PSP game is hardly a big jump to Android / iOS. That's more of a cross-platform release than a port.

FFT and Phoenix Wright are at least available as ports. I think you can make money with fixed price games, it's just not so visible because they are not played by everyone.

Square-Enix actually have a bunch of games on the iOS App Store. Most of them are ports, but a while back there was the Chaos Rings series which was original IP (I haven't checked if they have any other original IP for iOS). And they're not just straightforward ports either, for example the Dragon Quest games have all been adapted to play in a portrait layout (because their target customers are Japanese people playing while standing up on subway cars, where they can't do two-handed landscape gaming).

I also find it notable that Square-Enix is maintaining relatively high price points for these games (such as $15), and have done so for years, despite the iOS game market still being primarily aimed at the $1-$3 level. Of course, the fact that the games are being published by a well-known name like Square-Enix lets them do things other companies couldn't get away with, but it must be profitable enough because they keep adding more games to their iOS lineup.

Well sure, you can do those on mobile, but you can do those and alot more on the ds with buttons. I'm not saying good games are impossible on mobile, just that their scope is limited by a lack of buttons.