What is the Correct Term for a Touch Screen Type Touch Sensor
Digitizer or touch screen/panel digitizer. 

You can find them as replacements for small LCDs. For example, but these may not be suitable for your multi-touch requirement, and getting application information may be difficult. 

They're typically laminated onto the LCD display, and can be removed safely with a controlled temperature hot-air gun (and care, they're usually very thin glass).