Zcash GPU Miners
Before the launch of Zcash, the Zcash Company launched a contest to produce the best open source GPU miner.
Thanks to this contest, there are a few miners out there. We'll try to link the most used / best ones here.
https://github.com/mbevand/silentarmy Linux only; license: MIT 2016, Marc Bevand
SILENTARMY is a Zcash miner for Linux written in OpenCL with multi-GPU support. The Stratum protocol is implemented for connecting to mining pools. It runs best on AMD GPUs but has also been reported to work on other OpenCL devices such as Xeon Phi, Intel GPUs, and through OpenCL CPU drivers. (Nvidia GPUs are not currently supported due to an issue.)
https://github.com/nicehash/nheqminer Linux, Windows; licence: MIT 2016, NiceHash
Nicehash's GPU Zcash mining software. NiceHash, established in April 2014, describe themselves as "the most advanced crypto currency cloud mining, hash rental service and multipool".
Zcash CPU Miners
Although most of the profit is going to be made mining with your GPU, you can also mine with your CPU.
Most of the software mentionned above can be run also for CPU mining. You'll probably need to run the software two times.