For casual web browsing, on some sites I find it more efficient to click links directly on the screen instead of using a cursor. A big one for me, pinch to zoom for images/charts/maps is a lot more natural to me on a touchscreen.
Controlling mobile emulators when developing mobile apps can also benefit from a touchscreen.
> I feel like the screen would get dirty.
It does, but I'd just wipe it down occasionally like I do my phone.