Both do, Pharisees are considered to be the direct predecessor of Rabbinic Judaism, since they more successfully survived the revolts. Their key difference with other factions aside from metaphysical things like the afterlife was an acknowledgement of the "Oral Torah" instead of just the written bible, and a strong commitment to theological debate. After the destruction of the temple this was written down in Babylon, first as the Mishnah and then the Talmud.

While Jesus paints them as his key opponent and critiques them for being overly focused on the letter rather than the spirit of the law, (the Saducees being largely beneath contempt), there's a certain mutual respect going on as both Jesus and the Pharisees are massive, massive debate bros and have a similar class base. Some of the upper members of the Pharisees movement like Gamaliel are revered in both faiths.

Karaite Jews are different as are Beta Israel in that they retain a few more priestly aspects though their precise historical lineage is under some debate.