Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Basic Training (5 points): Complete the Tutorial.
Train Drain (10 points): Play all of your Trains during the match.
No Train, No Gain (10 points): Win 1 Ranked match playing Ticket to Ride.
The Long Haul (10 points): Attain the Longest Continuous Route bonus card 5 times.
One Track Mind (5 points): Make sure all of your Routes are connected by the end of the match.
The Big Score (30 points): Score at least 150 points in a single match.
Canadian Content (25 points): In a Xbox LIVE match, connect all Canadian cities and win.
All Aboard! (10 points): Finish a match in which you have completed all of your Destination Tickets.
Loco Motive (30 points): Complete 8 or more Destination Tickets during a single match.
I Think I Can! (30 points): Win 25 Ranked matches playing Ticket to Ride.
Master Conductor (25 points): Complete 50 matches.
European Track Star (15 points): Complete each of the 6 European Destination Tickets worth 20 or more points.
Au Naturel (15 points): Win a Ticket to Ride Europe™ match without playing any Stations.
The Ticket Master (20 points): Keep all 5 Destination Tickets at the beginning of a 1910 Mega Game and win.

Additionally, there is one secret achievement:

Underachiever (10 points): You played 10 games without earning any other achievements.