The Turbo Touch 360 was put out by a company called Triax.  The controller's claim to fame was its "touch sensor"... basically you could simply just place your thumb on the sensor pad without pressing down like with the usual D-pad.  And Triax was really proud of that.  Of course, they failed to mention that the all-powerful touch sensor could pick up any dust particles that landed on it just as well as it could pick up the movement of your thumb.  So I often found my character looking like he's having muscle spasms.

Also, the controller was uncomfortably huge.  I'd compare it to the size of an X-box controller.  And I was around 11 when I had it, so holding the controller & moving my thumb around the giant sensor pad thing was a rather large task for my child-sized hands.

Still, gaming magazines advertised the crap out of this stupid controller. It even had a TV commercial, consisting of a Troy McClure-esque guy dressed up as the Turbo Touch 360 picking on a wimpy bald dude in glasses dressed up as a normal controller.

Thanks to Mike Fireball from Poprocks & Coke for scans and information