For zlib compatible workloads, there are cloudflare patches and chromium forks, intel forks, and zlib-ng which are compatible but >50% faster. (I think the cloudflare patches eventually made it into upstream zlib, but you may not see that in your distro for a decade).

lz4 and zstd have both been very popular since their release, they're similar and by the same author, though zstd has had more thorough testing and fuzzing, and is more featureful. lz4 maintains an extremely fast decompression speed.

Snappy also performs very well, with zstd and snappy having very close performance with tuning to achieve comparable compression levels.

In recent years Zstd has started to make heavy inroads in broader usage in OSS with a number of distro package managers moving to it and observing substantial benefits. There are HTTP extensions to make it available which Chrome originally resisted but I believe it's now finally coming there too (https://chromestatus.com/feature/6186023867908096).

In gaming circles there's also Oodle and friends from RAD tools which are now available in Unreal engine as builtin compression offerings (since 4.27+). You could see the effects of this in for example Ark Survival Evolved (250GB) -> Ark Survival Ascended (75GB, with richer models & textures), and associated improved load times.

zstd is over 4x faster than zlib, while having a better compression ratio.

http://facebook.github.io/zstd/