What about calling it something like "ringo" and then having a red apple shape as the logo? "Ringo" is an easy name to learn, everyone in the English-speaking world knows how to pronounce it (just like the Beatle's name), and since it's not a music company, you don't have to worry about getting sued by Apple Corps for using a Beatles company name and a Beatles member in your name/logo.
I dunno, just an idea. It's kind of cute, and given that the trend in IT is toward cute, minimalist, shiny logos, I think it works.
But I'm just making crap up right now. I just like the word "ringo." You might even use a Japanese-style apple drawing (basically a circle with a line for the stem coming out, instead of the traditional Western "apple-butt" shape.
Japanese apple on left; Western on right.
