ionito:
**** Now, I need the help of you guys: What I need to do to make Arduino Mega 1280 work with this SD shield card ? ****
The hardware SPI pins on the Mega are 50-53 instead of 10-13. You'll need to change the code to set the Mega's SS pin as an output, instead of setting 10 as an output. You can move the select line, too, or leave it on 9.