Below is a list of cryptography libraries that support SHA-2:

Botan
Bouncy Castle
Cryptlib
Crypto++
Libgcrypt
Mbed TLS
libsodium
Nettle
LibreSSL
OpenSSL
GnuTLS
wolfSSL
Hardware acceleration is provided by the following processor extensions:

Intel SHA extensions: Available on some Intel and AMD x86 processors.
VIA PadLock
ARMv8 Cryptography Extensions 
IBM z/Architecture: Available since 2005 as part of the Message-Security-Assist Extensions 1 (SHA-256) and 2 (SHA-512)
IBM Power ISA since Since v 2.07
Which cryptography libraries support SHA-2?
Libraries that support SHA-2:
Botan
Bouncy Castle
Cryptlib
Crypto++
Libgcrypt
Mbed TLS
libsodium
Nettle
LibreSSL
OpenSSL
GnuTLS
wolfSSL