Yes, board game adaptations are just a digital version of the board game. And they're often well done.
One I just got recently and really like is The Grizzled, although I wouldn't recommend that to someone who isn't familiar with the game already (at least watch a video).
Some more accessible board game adaptations are Ticket to Ride, Carcassonne, Lost Cities, Kahuna, Raiders of the North Sea, Wingspan, Santorini, Sagrada.
If you want some games with more meat on them, check out Twilight Struggle, Spirit Island, Terraforming Mars, or the Through the Ages you recommended.
One I just got recently and really like is The Grizzled, although I wouldn't recommend that to someone who isn't familiar with the game already (at least watch a video).
Some more accessible board game adaptations are Ticket to Ride, Carcassonne, Lost Cities, Kahuna, Raiders of the North Sea, Wingspan, Santorini, Sagrada.
If you want some games with more meat on them, check out Twilight Struggle, Spirit Island, Terraforming Mars, or the Through the Ages you recommended.