According to a hastily-deleted news post on the Ubisoft website, a Far Cry TV series is in development, and it sounds like it'll be taking a similar approach to the games in terms of focus.
The post, which is no longer available to view on the Ubisoft website, was caught before deletion by Redditor iwascuddles (aww). As noted by fellow Redditor Kiribaku, the show's description states that it will take the form of an anthology, with each season focusing on "a new world with a different cast of characters".
Beyond that, we don't know too much about how the show will work, including whether its seasons will adapt existing Far Cry games or whether entirely original stories will be produced for the series.

If the post is accurate, however, then the Far Cry show will star It's Always Sunny in Philadelphia's Rob Mac, formerly known as Rob McElhenney. He also serves as one of the show's co-creators, alongside Fargo and Alien: Earth writer Noah Hawley, who will be Far Cry's showrunner.
It's worth noting that this show technically hasn't officially been announced, so a lot of these details could be subject to change. Still, the announcement seems a little too comprehensive to be fake, so I'd imagine the Far Cry TV show will be officially unveiled sooner rather than later.
If the show does go ahead, it'll be the first major Far Cry project since 2023's Captain Laserhawk: A Blood Dragon Remix, which served as both a loose adaptation of 2013's Far Cry 3: Blood Dragon and an homage to Ubisoft's franchises in general.
The mainline series itself appears to have stalled somewhat; the last major installment was released back in 2021, and since then, no official Far Cry 7 announcement has been made.
In any case, if the Far Cry TV show is real, it's probably going to be a while before we see any more of it, so for now, you'll have to content yourself with replaying the current games in the series. Stay tuned for more.