SmartMX vs NFC IC:
SmartMX is a microcontroller, especially designed for the smart card industry. It means there could be crypto co-processors, specific interfaces/UARTs, measures against side attacks.
Near Field Communication is a technology that works purely contactless (14443A) and where the device can be active (a smart card is passive). NFC technology can be used in conjunction with a SmartMX.
ISO14443A vs B:
I think the modulation technique and some things in the low level protocol make the difference.