NEW YORK — It turns out that Apple’s streaming-TV box — aptly named Apple TV — isn’t just for streaming anymore. Its latest incarnation, which ships this week, offers on the big screen just about anything you could previously only do on an iPhone or iPad.

Whether that’s good may depend on whether you really want to buy shoes, browse home listings or read comic books on your TV. The new Apple TV looks to be a capable device for those purposes, although it’s not flawless. Its streaming-TV features also trump those of its predecessor.