Broken Sword was the second peak, when stories became more serious and played more like an interactive novel. There are still jokes, but the game itself isn't one anymore.
The writing and puzzles are just not as great as monkey island 1-2.
I enjoyed the rusty lake series and the journey down.
The Broken Sword series is actually notable for surviving this trend, by transitioning to 3D and being console-friendly.
Fortunately, "the long tail" also happened, and the market has expanded in scale and improved ease of distribution (Steam, Itch, etc.) to the point that it's no longer true that every game has to be a big-budget "AAA" game; there's plenty of room for tons of niche stuff like adventure games, and it can be profitable.