Travel at the right time of year you can catch a tornado or two anywhere in the panhandle. The worst Ice and snow problems we routinely encountered was between Gallup and Albuquerque.
The most irritating road signage is "Why not Moriarity tonight". However that is a mild second to "The Thing" going the other way through New Mexico to Arizona. You may see a Wall Drug sign anywhere.
Also west of Amarillo is Adrian, home to the Midpoint Café. On the original Route 66, it is the exact midway point between Chicago and Santa Monica.