The latest processors have included extensions to the instruction set architecture tailored to speed up the execution of cryptographic algorithms. Like the AES New Instructions (AES-NI) that target the AES encryption algorithm, the release of the SHA New Instructions (SHA-NI), designed to support the SHA-256 hash function, introduces a new scenario for optimizing cryptographic software. In this work, we present a performance evaluation of several cryptographic algorithms, hash-based signatures and data encryption, on platforms that support AES-NI and/or SHA-NI. In particular, we revisited several optimization techniques targeting multiple-message hashing, and as a result, we reduce by 21% the running time of this task by means of a pipelined SHA-NI implementation. In public-key cryptography, multiple-message hashing is one of the critical operations of the XMSS and XMSS$^\text{MT}$ post-quantum hash-based digital signatures. Using SHA-NI extensions, signatures are computed $4\times$ faster; however, our pipelined SHA-NI implementation increased this speedup factor to $4.3\times$. For symmetric cryptography, we revisited the implementation of AES modes of operation and reduced by 12% and 7% the running time of CBC decryption and CTR encryption, respectively.