An aquarium in your pocket
Sega Toys' digital pocket aquarium avoids the work and spitefulness of a real aquarium. Of course, it also means that you're wasting your time on something that isn't even alive!
As the little guy grows, so does the world around him or her—the scrolling map widens accordingly to reveal new areas of the underwater world. There are also three mini games you can play with your pets, which are sure to boost mutual affection. The Handheld Aquarium offers countless hours of fun (not to mention responsibility training) for all ages.
It is, at least, far more tasteful than most Tamogotchi-like toys. But are there apartments that disallow fish? Let's have a pocket unicorn, or something else prohibited by the rental contract. ("Tenants shall not keep or house animals of any kind whatsoever over 25lbs in weight, including dogs, extraordinarily overweight cats, and space narwhals.")
Handheld Aquarium from Sega Toys [Japan Trend via Random Good Stuff]

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It just occurred to me (for absolutely NO good reason at all) that you could use a device like this as a highly interactive adult-oriented erotic fantasy RPG - e.g. maintaining a torture chamber/harmem.
I'm just sayin' is all... *whistles innocently*
What a fantastic idea.
Really, what the world needs is a tiny handheld flash player.
I can guarantee you that there are, indeed, apartments that do not allow fish, much to my wife's disappointment.
A surprising amount don't allow fish. I think it might be because of tanks breaking and the water damage caused. I have a 110 gallon tank, and it definitely needs to be put on the ground floor of a building, to not screw up the floor as well.
Tamagochi, anyone?
No. Space Narwhals only.
iFish (from the much-maligned App Store) costs $58.01 less than this. Of course, you also have to have jesusPhone, but come on, WTF is it with single-purpose gadgets?