Ticket to Ride and Ticket to Ride: Europe in this entry since they are similar in most ways.
Ticket to Ride's objective is to create connecting chains of railroad from city to city to get points. Each connecting railroad track gives the player points based of of its length. The longer the track the more points you get. Adding to this is the objective cards which reward the player if they create a long chain of railroad to two cities. Again based on the length between the cities the more points you can gain. In order to place down tracks, the players uses cards with different color trains on them and match color the the rails shown on the board. The longer the rail is the more cards of that color you will need. Example: There is a green 4 rail track I want to place, that means I need 4 green cards to obtain that track. The play continues until a person has only 2 trains left. Everyone else gets a last turn and the game is over. The winner is the person with the most points.
Ticket to Ride: Europe has the game play above with a few addition features. First is that each player a has 3 stations. These station allow to player to use another persons rail to complete a circuit. However, doing this means less points as each unused station is worth an number of points on the final score. The other feature is that of tunnels. Tunnels are special tracks that require you to first pay the cost then you draw a card for each track piece of the tunnel if a engine shows up then the tunnel "collapsed" and you fail to make that track. Example: The tunnel is 5 tracks long. I pay the five cost then I flip over cards from the draw pile. If I flip over a 5 cards and an engine doesn't appear then I successfully built the tunnel. But if I did flip over an engine I don not get that track.
The Ticket to Ride Series is another game I could recommend to the family, because of the ease of rules and simplicity of the gameplay. The price is about average for a board game of this type ($50 US). The quality of the art, pieces and gameplay is worth the price.