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Here's the one for android (https://play.google.com/store/apps/details?id=net.peapark.CatsGarden&hl=ja)
Edit: Started playing this and here's what I've gathered from reading bits of it and guessing.
First the menu. The menu button is the bottom left. Then it gives you (from top left across then the second row) cat, friend, album, camera, store, makeover (for the background), help, and setting.
So the game, you plant cats and water them. Once the cats grow out you can take pictures of them. However, go into the menu and select camera, if you just click on the cats then you collect them (this is how you get the cats in your list of cats) and they disappear. If you just leave the cats out then other animals will come visit them after a while. When this happens you can click on the cat with the friend and it'll let you feed the friend and you collect the friend into your list of friends. Also, you can click the watering can to check the moisture level of your cats after they've grown out too.
And that's what I've got so far. Will update when I figure it out more.
Edit 2: Here are the type of cats you can plant.
10 = crying cat
20 = sleeping cat
30 = butt cat (it's facing away and showing its butt to you)
50= shirt cat (hiding in a shirt)
70 = ball riding cat
100 = nabe cat (like the pot Chairman Meow likes)
150 = cushion cat (sleeping on a cushion)
200 = zabuton cat
250 = daikon cat
300 = house cat
400 = tissue cat
500 = Japanese wooden doll cat