Ticket To Ride is a board game turned app that is rather fantastic, both in gameplay outside the digital world and gameplay in the app built for it.
The game has you drawing tickets that indicate a route you are trying to build across a map, and working to build train connections between locations to build out your route while preventing other players building theirs. There are bonuses for the longest single train connection, and the winner is the person with the most points.
You can watch a TableTop video of this game below, along with links to purchase it for both iPhone, iPad, Android and on Amazon. Have fun!