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LZMA SDK. I feel nobody speaks about it, considering it is the basis of 7Z and XZ compression formats, and is practically the strongest one with good speed outside of BSC and PAQ family (lolz is too niche for game repacking).
I will add FFmpeg too, for video and audio encoding and compression.
I am a file compression lunatic.
I'm surprised you didn't mention zstd, I've been using that in a bunch of projects for a while now
Because zstd is not mature enough. Facebook claimed it was production stable, yet even with 1.5.1 it created corrupt archives at level 16 or above compression. Moreover, zstd is a single file compressor which means it needs a container for all files (like TAR) before initiating compression. I benchmark and observe zstd apart from blosc and many other projects aiming for Pareto frontier, however I find it quite concerning nobody thinks about Pareto frontier in terms of distribution of compressed contents, since compression is only performed once.
7Z is a full featured stable general purpose archival format with more than 25 years of development and track record, and has support for repairable headers, Unix/Windows precision timestamp support, far stronger compression (10-20% better ratio than zstd) and incredible ease of access (7-Zip on Windows and compress/decompress support built into Linux distributions).