I know ECDSA and ECDH are used a lot but what about the ECIES? Is it used or specified as an option in any protocol?
Yes, ECIES is used in practice. That's the simplest way (thus arguably the best) to establish a key or/and encipher using Elliptic Curve Cryptography in contexts including unidirectional data transfer, or data-at-rest like backup with encryption under public key.
As an illustration, it is often listed in the Other algorithms section of FIPS-140-validated cryptographic devices; I count like 28 occurrences.
ECIES is in the de-facto standard SEC 1, IEEE Std 1363a-2004, and ANSI X9.63-2011. It is used e.g. in Intelligent Transport Systems as specified by ETSI TS 103 097. The similar ECIES-KEM is in ISO/IEC 18033-2:2006 following a well-documented proposal by Victor Shoup.
Another example is Google's Android Pay:
Android Pay uses Elliptic Curve Integrated Encryption Scheme (ECIES) to secure the payment method token returned in the full Wallet response