Hi Peter,
Thanks for your port to Teensy3, it was useful for me to try out these modules (and oi! fellow Aussie!).
Just want to know that in your Teensy3_ST7735.h, the RGB macro has an error.
#define RGB(r,g,b) ((b&0xf8)<<8|(g&0xfc)<<4|(r&0xf8)>>3)
I think should be
#define RGB(r,g,b)...