The birth of video games on phone/tablet devices does not change the genre of "Handheld games" to "Mobile games"... it means that there are handheld games, and there are mobile games. While there isn't a huge difference, I think it's large enough to take note of.
Handheld gaming: Video games designed to emulate traditional gaming, but in a portable capacity without compromise (unless you count graphics). Complex story lines and large amounts of content is not uncommon.
Mobile gaming: Simplified, streamlined games designed for the sake of low prices and maximum sales. Touch-screen only for easy hands-on, pick up and play gaming in short bursts.
The primary need for this distinction is a) their vastly different markets and b) because mobile gaming is far removed from traditional, sit at your console/PC and play gaming. We are a long ways off from being able to emulate traditional gaming on a mobile platform.
*My signature from 2011 which I'm too lazy to change*
Currently awaiting the arrivals of:
Kid Icarus Uprising
Resident Evil: Revelations
Tekken 3D: Prime Edition
Metal Gear Solid: Snake Eater 3D
Beyond the Labyrinth
Heroes of Ruin
Luigi's Mansion 2
