Smarter people have looked at the NES Classic Edition innards and deciphered just what's tucked away inside the system. Believe it or not, most of these specs are above what is offered in the Wii and 3DS.
SoC: Allwinner R16 (4x Cortex A7, Mali400MP2 GPU)
RAM: Hynix (256MB DDR3)
Flash: Spansion 512MB NAND