The most addicting one I have is Pocket Frogs. You breed, sell, and buy frogs with coins. There are potions and stamps that you can earn via requests and sets and find in the pond. There is also the pro shop Where you can buy them with real money, but I never have and never will, I have plenty of potions and am at level 17. I remember the first night I played it I got to level 4 haha.
Another app I have is from nimble bit. (pocket frogs is from nimble bit too) it's called Tiny Tower. You start out with a 1st floor in your tower. It's a lobby, and there isn't really anything you do with the lobby. But there's a little tutorial that takes you through the main points of the game. It'll tell you to build a new floor. And use your tower buck to hurry the construction. I think it tells you to build a residential, yeah I think so but it's been so long! I have 32 floors now... But anyway, the tower bux are just like the potions and stamps. You can buy them, but I just earn them. I have 90. The little people are called bitizens. It's in like a pixely style and it's really fun. I wouldn't have it any other way.
Another nimble bit app- Dizzypad. It is a bit like Pocket Frogs because it uses frogs from it. But there aren't nearly as many and they are called "frog skins". So what you do is touch the screen (anywhere on the screen) when the pad he's on is in the right direction that he's facing the next pad (the pad is spinning). So basically you touch the screen at the right time so the frog jumps on the next pad. You can earn more lives by skipping pads and catching flies as you jump. As you earn more points, the pads start spinning faster. Once you run out of lives you lose. It's a fun game.
Yet another nimble bit app- Scoops. The controls in this game are tilting the iPod back and forth. You start out with an empty cone. There are scoops of ice cream and vegetables falling from the sky. You tilt your iPod back and forth to catch thE ice cream scoops, but you don't want to catch any vegetables. You have three lives. You can earn lives from an ice cream scoop that is purple and has stars. It's really addicting. As the number of scoops that you've gotten in a row withOut getting a vegetable increases, the faster they fall and the harder it is to not get vegetables. It's fun, I could play It for hours.
Another nimble bit tilt game is Sky Burger. It's like Scoops, but you have the bottom of a bun and make orders that you are given. The ingredients fall from the sky, and you get only the ingredients you need for the burger. Each time you get the wrong ingredient, your tip decreases. Each time you get the right ingredient without ever getting a wrong one, your tip increases. And when you get a sky burger order you just keep getting tons of ingredients until you get a bun on purpose or not.
My last nimble bit app I will tell you about is Bluebird. You keep tapping.the screen to make the bird fly. You make it eat flies and avoid other birds and storm clouds. It's simple and fun. Once you run out of energy (you eat flies to gain energy.)or fall from the sky you lose.
My first non nimble bit app! It's called fish farm. You take care of realistic looking fish. You have to have two of the same fish to breed. You could just start out with two of the same fish and breed them and sell their offspring to earn money and xp. And there are cowry dollars that you can buy. But there is a free way to earn them! Each time you open the app, it will offer some cowry dollars for downloading a free app. I download than and dElete the app :P. But delete the app after it gives you your cowry dOllars. It takes a little bit and you will be informed in the game. It says "you have received your 125 cowry dollar" or whatever the amount. You can use cowry dollars to buy fish, scenery, and use it for food that lasts 2 days! Each time a fish catches a food flake you get charged 1 cowry dollar. I think it's good for lasting two days!
My final app I will tell you about. It's a popular app. Angry Birds. I know, I know. But there is a free version and a lite version. And a free version for sEasons and rio. You can try out the free version(s) and if you like it enough, you can buy it for 99 cents. It may not seem that fun, but once you play it, it'll be a little hard to stop! :)
Whew! Hope I helped! :)