Kiran Kedlaya finished the proof of Deligne's conjecture (1.2.10) made in La conjecture de Weil, II, which is definitely "noteworthy", and perhaps "not so famous" compared to the original Weil conjectures.
https://www.math.rutgers.edu/news-events/list-all-events/icalrepeat.detail/2019/02/06/10062/-/companions-in-etale-cohomology Colloquium talk: Companions in etale cohomology.
http://kskedlaya.org/galc.shtmlAnnotated reading list for the working seminar at the IAS on the proof.