It’s Chess960 time at the TCEC! (https://tcec-chess.com) The more I watch these games, the more I feel that the gap between humans and engines is even higher in Chess960 than in normal chess. I loved the opening phase of this game between two of the less famous engines on show. I’m not sure I would have thought of any of Black’s moves!
2012 there was chesscube i think...oh wait i think i remember in 2014 they didn't have 9LX in their app. RIP chessube
2021 this is very moot of course. lichess, chessdotcom, chessvision (using lichess), etc
The goto site for downloadable pgns for regular chess is Mark Crowther's "The Week in Chess". The good news is that he also covers 960 or Fischer Random. This is TWIC's page for the World Fischer Random Chess Championship 2019.
The link for the pgn files is here.
Searching on chess-results for "960" tournaments played in 2021 gives the following:
68th PCA Chess 960 Tournament 24th Jan 2021 W23 D0 B21
Первенство Владимирской области по шахматам-960 (rapid) W25 D3 B25
Турнир по шахматам 960, посвящённый 78-летию со дня рождения 11-го чемпиона мира по шахматам Роберта Фишера (rapid) W20 D7 B22