Hey,
I first tried to use a 32GB SD with a Uno and later with a Mega 2560. I used Micro SD Shield and the Cardinfo sketch form examples.
D8(CS) -> 53
D6(Miso)-> 50
D7(Mosi)->51
D5(Clk) ->52
Gnd->Gnd
VCC->5V
Result:
Initializing SD card...Wiring is correct and a card is present.
Card type: SD2
Could not find FAT16/FAT32 partition.
Make sure you've formatted the card
I used SD Formatter, it is a SanDisk 32GB Ultra Micro SDHC. I read that cards over 2GB don't work...but: I have got a Geeetech I3 3D printer which contains a GT2560 board. This board is a 2560 and a Ramps board AND I used it with exactly this card and I used this card after the non-successfül SD Arduino-try to print a model (https://www.geeetech.com/wiki/index.php/GT2560).
So:
So it is possible to use card over 2GB with an Arduino and I (and maybe a lot more reading this) want to know how.
I got lost searching the web for solutions.
Thanx in advance. 
Paddy