We've already got lists for movies and books, so let's move onto some great pirate-themed video games. Hopefully we can connect gaming fans here to games they may not be aware of.
Assassin's Creed IV: Black Flag (2013-Multiple consoles) - The newest title on this list. Most people in the gaming world know the AC series, and ACIV is one of the best regarded in the series. The game takes place in 1715 Caribbean, and while the game takes plenty of liberties with history, it still tells a great story. It's also got fantastic gameplay and has a very well-known open world that allows for tons of exploration.
Sid Meier's Pirates! (2004-Multiple consoles) - I'm mostly referring to the 2004 remake, but I know the original '80s game has plenty of fans as well. This game is probably the closest to how a game of 7th Sea might go. You even choose one of several real-world nations to sail with initially. The game is extremely free-form, with little in the way of structured plot. That go-your-own-way style tends to be the determining factor to whether a person likes the game or not.
Skies of Arcadia Legends (2002-Gamecube and Dreamcast) - This game is criminally underrated in my book and commonly appears on lists for best games that never get a sequel. This Japanese RPG has many tropes - fantastical setting, plucky teenage hero, cartoonishy evil empire - but the plot's a lot of fun and the skyfaring world is great to explore. The Dreamcast edition had some mechanical clunks, but the Gamecube version fixed them and added even more content.
The Secret of Monkey Island (Multiple Consoles) - The Monkey Island series has had many sequels, but the original will always be the best in my heart. It's playable even in its original 1990 PC incarnation, although it's been remade several times since. Hysterically funny and with great visuals and puzzles, The Secret of Monkey Island helped define the point-and-click adventure genre and stands as a classic in early PC gaming.
Thoughts? Other recommendations?
LEGO Pirates of the Caribbean: The Video Game (2011-Multipe Consoles) - yes, this is from the Disney movie of the same name of course, but hey, you can never have enough LEGO minifigs right? Especially if one of them is a clueless ship captain. So it is true that it does not introduce anything new not already covered by the original franchise, but it still brings those unique LEGO game twists of building cool gadgets from bricks. Just imagine if 7th Sea "raises" could afford our heroes opporunities to build cool stuff too.
TAJ-07: Technopriest And Justicar Of 7thSea2e
I would not want this list to only include Pirate themed video games if we are looking for 7th Sea-esque video games, since 7th Sea incorporates more than just piracy.
Most of the Assassin's Creed series are very 7th Sea like (some even suspect they stole a few ideas from 7th Sea). Not to mention strategy computer games like the Europa Universalis series (which I hope someday someone will make a Theah mod for).
You're right, I shouldn't have phrased my initial post to be pirate-exclusive. I went with that because it seems like most games set in that era of world history would focus on piracy and such. But heck, you can even go to series like Castlevania for a bit of 7th Sea-like flair.
Guns of Icarus may take place on airships but it is so fun to be in voice chat shouting, "Hard to port, Cap'n!" and the captain is shouting, "Gunners to starboard side!"