NFC vs. RFID

I look at modules to buy and I need some kind of clarification/confirmation.

NFC != RFID , they are not compatible standards? Many modules state NFC but are in fact RFID..
Now maybe they mean near field communication but still. I have NFC in my phone and it doesn't read RFID (would be great if it did).

I'm looking for a simple microcontroller with nfc, just basic relay stuff, read tag > open on timer > close.
Any help would be greatly appreciated!

Wikipedia says "NFC standards cover communications protocols and data exchange formats and are based on existing radio-frequency identification (RFID) standards"

My interpretation is that NFC implies more dynamic information (challenge-response transations, rolling codes), and probably two-way communication between active devices (so: your phone to a cash register, or a smart-card to an authenticator) while RFID mostly involves reading a small amount of static data (RFID tag.) The additional complexity essentially adds another level of protocols. (Hmm. Skimming the Wikipedia article, I'm not sure that that's correct.)