In Call It an ‘App Phone’ (A What?), David Pogue suggests “iPhone-like” devices should be called “app phones”. (The link in to nytimes.com, so you either have to register to read it.)
Calling it a “phone” at all seems silly to me. The phone is just one feature and not the most important one.
These are palmtop computers. “PDA” would fit; I just never liked that term.