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Zombie Farm-addicting as heck and fun!
Farm story Snap-Superior to Farmville & Addicting!
Angry Birds
N.Y. Zombies
Highborn- Love it!!!
Crystal War-excellent & fun
 
I love threads like this. It allows me to weed through the strong stuff from the weak stuff.
I've picked up unicorn and highborn because of this thread and although I haven't played them yet, can tell I'll enjoy them.
 
I got a big list here, but these apps are my current faves:

Prince of Persia: Warrior Within
(the directional controls are a PITA but you will get used to it, loved the PS2 version, so I was happy this made it to iTunes).

Real Racing
I only have the free version (GTI) but it is alot of fun. Enjoyed the full version at the Apple Store on the iPad, so I had to try this out on the iPhone. Really fun game.

Pinball Ride
love Pinball games, and this one is pretty fun. I just wish there weren't a time limit though.

Myst
I'm planning on buying the full one soon. I played the original on PC and loved it. I just need to pass the demo then I'll buy the game on itunes!

Ragdoll Blaster 1& 2
Lite versions, debating if I should get the full one or not. I really enjoyed them both and are pretty challenging. But i'm worried I might tired of them in the long run.

Jelly Car
the original, NOT JC2! The first JC2 is actually free, the 2nd one is an paid app. Haven't tried it but from the reviews it's not as good

Other games I love:

1) Flight Control
2) Boost 3D
3) Dark Nebula
4) Doodle Jump
5) Traffic Rush
6) Tilt to Live
 
I don't have an iPhone 4 (I've got a 3GS), so I can't really suggest games that take advantage of retina display or gyroscope, but here are some of my favourite games on my iPhone.

  • CoD:WaW:Zombies
  • Solitaire 3D
  • Quadratus
  • Zombieville USA
  • Zombie Smash

As you might be able to tell, I like my zombie games :p They all play great on my 3GS, so I am sure they will play even better on iPhone 4.

Jelly Car
the original, NOT JC2! The first JC2 is actually free, the 2nd one is an paid app. Haven't tried it but from the reviews it's not as good

Well, I don't know which reviews & ratings you are judging by, but on the US store the free one is 3 & 1/2 stars, and the paid one is 4 stars. On the Canadian store, the free one is 3 stars, and the paid one is 4 stars.

I own both. I was happy to buy the paid version. JellyCar 2 is well worth $0.99. It's waaaayyyy better. Level editor = unlimited possibilities of levels. You also get power-ups and the choice of jelly cars. Plus there are many new game modes. Generally, paid versions are better :p
 
Real Racing and Eliminate Gun Range. Both have great graphics and game play.
 
I don't play too many games but I like solitaire (you can put it on hold any time, so it's great for being on hold on the phone, or in the doctor's office). Myst is one of my favorites and I downloaded that for iPod Touch and loved playing, even though it is a bit tiny on the screen, it's still gorgeous and fun.
 
Real Racing...Best racing games by far!!!
Eliminate Gun Range...very addicting shoot 'em up!!!
Let's Golf & Let's Golf 2....
Sudoku2Pro...best Sudoku game...
 
Angry Birds

And just downloaded yesterday, Plunderland. Absolutely wonderful. Not as comprehensive as Angry Birds (in terms of levels), but a great game and graphics are amazing on retina display.
 
Angry Birds
Plants vs. Zombies ( Just as addicting as Angry Birds )
Doodle Jump
Doodle God
Archetype
 
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