To be pendantic: Nobody today uses LZ77. LZ77 is quite primitive and not very efficient. However, nearly everyone today uses an algorithm that is descended from

To be pendantic: Nobody today uses LZ77. LZ77 is quite primitive and not very efficient. However, nearly everyone today uses an algorithm that is descended from LZ77, so "LZ77" is just a sort of shorthand for "any algorithm descended from LZ77". LZMA and Zip's deflate are both examples of LZ77 descendants. (To be even more pedantic, all modern algorithms are descendants of LZSS, which was one of the first improvements on LZ77.) Out of the ones you listed, only .Z and .bz2 are not LZ77-LZSS descendants. .Z is an implementation of LZW, which is a descendant of LZ78, which is a significantly different (but still related) algorithm to LZ77. It never really caught on beyond a few implementations of LZW, though. .bz2 is the only one completely unrelated to Ziv's work. It uses the Burrows-Wheeler transform, instead.