Some of the notable chess games of the 2020s are: 1. Andrey Esipenko vs Magnus Carlsen at Tata Steel Masters, 2021. 2. Fabiano Caruana vs. Maxime Vachier-Lagrave in World Championship Candidates (2020/21). 3. Magnus Carlsen vs. Ian Nepomniachtchi at the World Championship Match, 2021.