Yeah, I can list a few. Most of my current ones (damn thing can only hold so many at once) are not of the strategy/card sort, since there's a bunch I'm already playing on PC here.
But let's have a go at listing a few..... for once, I'll attempt to keep this short.
Be aware though, that if you're looking for some long, "heavy", story-based experience.... you'll probably not find it on my list. Oh, that sort of game exists on here, it does.... the sort that most console players seem to consider to be the "real games" *cough*. But I have zero patience and I tend to hate all story elements in most games, so I dont give a crap. Shmups, arcadey things, roguelikes, strategy, and sandbox is what you'll find here. Oh, and puzzle games too, and platformers. All of the same sorts of things I play on PC.
.....also actually looking at my full list of stuff is.... difficult. Itunes: I freaking LOATHE it. It's decided "Hey, I feel asleep, so I'm only going to show you a bit over half of them, and the others, yeah, heck with that *snore*". I can see things on my iPad that arent listed on iTunes.... ugh. Like I said, those other types of devices? Not having to use iTunes is a MAJOR advantage.
Let's get the shmups out of the way first. Some of them, anyway, since a certain program wont let me look at my own damn account correctly. They're what I have the most of. I consider this thing to be the absolute best platform for shmups in existence, outdoing both the consoles and the PC, this being because when done right (and it's very easy to do right), the controls are freaking PERFECTION, something I've never, ever said about any PC or console shmup. Cave's games though get the "side buttons" kinda wrong, but that's a minor thing.
Shmup list:
Dodonpachi Maximum
Dodonpachi Resurrection
Dodonpachi Blissful Death
Mushihime-sama (listed on iOS as "Bug Princess"....sigh)
Mushihima-sama Futari (Bug Princess 2.... okay, right, that IS the literal translation of the name, but it sounds dumb nonetheless...)
ESPGaluda 2
Darius Burst
Shogun
SuperOxWars (This one is by Jeff Minter. If you recognize his name, I shouldnt need to explain further. I buy anything he puts out.)
rRootage (yes, spelled that way, not a typo)
Geometry Wars Touch
AngerSomethingSomething (okay... cant see full name of game on list here.... recent shmup though, it'll come to me eventually....)
InfinityDanger (similar to Warning Forever)
There's more of those, but you get the picture. If I had to choose which ones are best, ahh.... DDP Maximum, DDP Resurrection, and Darius Burst.
Next, Roguelikes, or anything that in any way resembles an RPG. Turns out I do actually have a couple of JRPG style game here too, had forgotten about these.... normally I dont play that sort, but THESE arent made by Square, and thus do not suck.
Avernum HD (Hardcore PC-style RPG. Genre fans only.... this is not an accessible game. This series can also be found on Steam, but I was happy to see a port on here, and it's quite well done so far.)
Rogue Ninja (if you've heard of Chunsoft, this plays like their stuff, which is why I have it)
Zaga33 (roguelike. Hard to explain.)
888-HACK (roguelike. Even harder to explain. By the same guy that did Zaga. I love the heck outta both of these.)
Nethack (it's freaking Nethack.)
100 Rogues (Very, very good. Very, very rage-inducing. You'll die. Alot.)
Wayward Souls (I think I got the name right... this one is very recent. It's also bloody fantastic. Buy it. No, just go buy it, right now.)
Dungeon Crawlers (Yay, generic name. Sort of a tactics-style RPG, good humor in this one)
Chronus Arc (RPG)
Brogue
Ending (I freaking love this one. It does not love me back)
Hoplite
Aralon
Baroque (One of my favorite games of all time. Normally found on the PS2 or Wii (argh). Definitely NOT the best port... they botched the controls a bit. But I like it nonetheless.)
Strategy/Puzzle:
Rymdkapsel
Picross
QatQi
PuzzleJuice (ah, this one hates me)
ZONR
ERA HD (not sure if that's the full name.... tower defense type, very good. I like tower defense.)
BlockLegend
Quads SP (AGH TOO MANY TETRIS AT ONCE)
Strategery
Arcade:
Space Inversion 1 & 2
Arkanoid HD
Super Mega Worm
Super Crate Box (JUST GO BUY THIS NOW. Particularly if you want to see action-game controls done PROPERLY, these guys know what they're doing. THis is also found on PC.)
Gridrunner (Jeff Minter)
Minotaur Rescue (Minter again)
ElectroMaster
Five A Day (More Minter. This one's weird, even for him)
Galaga 30th Anniversary Collection
Breakout
ForgetMeNot (a favorite of mine, also found on PC)
Rally-X
Slayin
Weird/uncategorized/unique:
EnviroBear 2000 (ahhh, this one cracks me up so much)
DungeonMoto
MonkeyLabor (Ahhh, the LCD games of days gone past....)
Pac-n-Jump
I Am Level
Magicka
GoatUp 1 and 2 (Minter again. These are platformers. The second is VERY different from the first).
Melodive
Glitch Tank
Retro:
Activision Anthology
Atari Greatest Hits
Bubble Bobble (argh argh argh)
Midway Arcade
Pinball Arcade (EXCELLENT game. Also takes up a really amazing amount of space.)
F. Godmom
Cybernoid
Various ZX Spectrum anthologies (theres alooooooot of games from that thing to be found on here. Just look them up, there's multiple giant anthologies of this.)
Sandbox:
Junk Jack X
Survivalcraft
Blockheads
Block Story
I'll stop there, because my arm hurts. And now the iTunes thing is starting to bother me.
Again, you'll not find epic story-based cutscene-tastic things in here. Purely a list catered to my own tastes regardless of platform. I'm thinking this list actually wont be of much use to most because of this. Alot of games here are in 2D, because I like 2D, and because for these genres, 2D is usually the way that works best; 3D often just gets in the way.
And again, definitely not the entire list. Good grief, that'd take bloody forever to do. This one post took too long as it is.
But there ya go. Any questions, feel free to ask.
For me it's touch control mostly.. I hate it. It is extremely tiring for my arms/hands/fingers.. and those digital analogue sticks especially.. argh
Yeah, that's the one issue that can kill it for some players. The controls. Never bugs me in the slightest, as far as I'm concerned, it's just an unusually heavy controller (seriously, damn iPad weighs too much).
And yes.... virtual analog? Rarely done right. EVEN MORE reasons why I prefer games that can control with a dPad (which is EASY to do right). Same preference I have on any platform, really. I hate analog in general.