Pac-Man: Championship Edition. It's the one game that has never left my iPod touch since buying it. And now that all of the extra levels are included for free, it's been getting even more play. I absolutely love it.
Call of Atlantis for some reason keeps me coming back. Probably not many people have heard of it but it's a match-three puzzle game that I picked up when it was free a few months ago. There's just something about it that makes it a favorite. I'd also have to go with Peggle, Phoenix Wright, and Pinball HD for iPhone.
Ahh. I was just going to mention Slingo Supreme. Right now I'm hopelessly addicted. It's definitely one of those "just one more try" kind of games. I lose track of time completely, or if I do look at my pesky clock I just ignore it. Because I might have important things to do, but dammit, I know I can do better on the next try. Or okay, no... But maybe on the NEXT next try.
flight control - though i played it over and over and though i'm sure i won't score any higher than i already did i come back to it every day for months now...
For me it would have to be the first Geodefense. I couldn't stop playing that game for months and months, and I still play it. And the other one would be SpaceStation a great ripoff of the Space Game.