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

Baptism of Fire (10 points): Successfully complete the tutorial.
Aspiring Champion of Chaos (10 points): Successfully complete the first chapter of the Chaos campaign.
Captain of the Empire (10 points): Successfully complete the first chapter of the Empire campaign.
Greenskin Boss (10 points): Successfully complete the first chapter of the Orc campaign.
Exalted Champion of Chaos (20 points): Successfully complete the second chapter of the Chaos campaign.
General of the Empire (20 points): Successfully complete the second chapter of the Empire campaign.
Greenskin Big Boss (20 points): Successfully complete the second chapter of the Orc campaign.
Elector Count (40 points): Complete the Empire campaign.
Lord of Chaos (40 points): Complete the Chaos campaign.
Greenskin Warboss (40 points): Complete the Orc campaign.
Focus of the Gods (30 points): Complete all optional missions in all campaigns.
Tender Master (10 points): Fully heal/reinforce at least 1 squad in a refill camp.
Besieger (15 points): Kill at least 1 enemy artillery unit based on a tower, during a siege.
Swordmaster (15 points): Win any duel in the campaigns.
Exterminator (20 points): Kill every single enemy model in a campaign map.
Path to Glory (50 points): Finish any campaign with all heroes at lvl 40.
Wall-crawler (30 points): Win a siege without siege weapons (by using only ladders and powder kegs).
Logistician (50 points): Win a normal multiplayer battle while spending only 75% of your available money.
Versatile Commander (20 points): Win at least one multiplayer battle with each race.
Foe-Bane (30 points): Win at least one multiplayer battle against each race.
Honoured Ally (15 points): Be on the winning side in a 2v2 battle.
Duelist (15 points): Win a duel in a multiplayer battle.
Tribute to the Staff (10 points): Watch the complete credits video.
Master Tactician (20 points): Win 3 multiplayer battles in a row.
Master Strategist (30 points): Win 5 multiplayer battles in a row.
Master Architect of War (50 points): Win 10 multiplayer battles in a row.
Dog of War (25 points): Win a multiplayer battle with only mercenary units.
Master of the Baggage Train (15 points): Refill every squad in your army during any campaign.
Drillmaster (10 points): Purchase any upgrade for a regiment in any campaign.
Rising Force (15 points): One of the campaign Heroes reaches lvl15.
Paymaster (10 points): Sell a non-expendable artefact to the alchemist.
Master of the Winds of Magic (15 points): Kill at least 3 enemy models with a single hero spell.
Cavalry Leader (10 points): Enter a battle with a mounted hero in Campaign.
Warlord of Chaos Unified (50 points): Complete Chaos campaign twice. Once with Khorne and once with Nurgle.
Veteran of Battle (20 points): Win 10 multiplayer battles in staged arena mode.
Army Battle Standard Bearer (20 points): Win 10 multiplayer battles in the escort the flag mode.
Skull-Taker (20 points): Kill 100 heroes in multiplayer games.
Longbeard (40 points): Play 100 multiplayer games.
Grand Despoiler (20 points): Win 10 Siege multiplayer battles.
Hammer of the Gods (50 points): Complete all campaigns on hard difficulty.
Ways to Command (20 points): Complete an entire campaign with the advanced controller scheme.
Heroism (30 points): Win a multiplayer battle with only Heroes.