Which Nucleo boards do you have?
You should not need anything technical to get going with standard Arduino examples. Or standard MBED examples. Try them. Ask if you have a problem. Make sure that you quote library version, example, wiring, ...
However TFT libraries tend to need low level access to achieve performance. It is unlikely that something written for a Uno will run immediately on Due or Nucleo unless it sticks religiously to digitalWrite().
It is surprising how easy it is to get a SPI or I2C device up and running on a new target.
David.