There are lots of achievements in the game to unlock. Each of them give you XP in reward which you can spend in bying skills.
Rookie
Clear the first level
Reward: 250 XP
Lieutenant
Clear 10 levels
Reward: 2 500 XP
Captain
Clear 25 levels
Reward: 6 000 XP
Major
Clear 50 levels
Reward: 12 500 XP
General
Clear 100 levels
Reward: 25 000 XP
Bitter Sweet Defeat
Experience your first defeat
Reward: 250 XP
Lone Wolf
Clear a level with only 1 shield remaining
Reward: 2 000 XP
Overpowered
Clear a level with 21 or more shields remaining
Reward: 3 000 XP
Great Defender
Clear 10 levels without loosing any shields
Reward: 3 000 XP
Perfectionist
Clear 50 levels without loosing any shields
Reward: 15 000 XP
Wild Wild West
Clear a level with only gun towers
Reward: 500 XP
Missile Command
Clear a level with only missile towers
Reward: 2 500 XP
Death Star Trench
Clear a level with only laser towers
Reward: 2 000 XP
Low Tech
Clear a level without upgrading any towers
Reward: 1 000 XP
Seller
Sell a total of 10 towers
Reward: 500 XP
Wall Street
Sell a total of 50 towers
Reward: 2 500 XP
Monopoly Guy
Sell a total of 150 towers
Reward: 7 500 XP
Ten k Club
Destroy 10 000 ships
Reward: 3 000 XP
Fifty k Club
Destroy 50 000 ships
Reward: 15 000 XP
One Hundred k Club
Destroy 100 000 ships
Reward: 50 000 XP
Orbital Fighter Destroyer
Destroy 10 000 Orbital Fighters
Reward: 3 000 XP
Siege Carrier Destroyer
Destroy 2 000 Siege Carriers
Reward: 4 000 XP
Nebula Defender Destroyer
Destroy 1 000 Nebula Defenders
Reward: 3 000 XP
Solar Traveller Destroyer
Destroy 3 000 Solar Travellers
Reward: 6 000 XP
Gemini Fighter Destroyer
Destroy 1 500 Gemini Fighters
Reward: 4 000 XP
Gemini Scout Destroyer
Destroy 3 500 Gemini Scouts
Reward: 7 000 XP
Hyperion Cruiser Destroyer
Destroy 50 Hyperion Cruisers
Reward: 10 000 XP
Collector
Find 5 common artifacts
Reward: 2 000 XP
Archaeologist
Find 15 common artifacts
Reward: 5 000 XP
Lara
Find 5 rare artifacts
Reward: 5 000 XP
Indy
Find 5 unique artifacts
Reward: 10 000 XP
Less Is More
Clear a level with 6 or fewer towers built
Reward: 1 500 XP
Minimalist
Clear a level with 3 or fewer towers built
Reward: 3 000 XP
Keep Them Coming
Clear 100 waves in Endless Mode
Reward: 2 500 XP
One More pass
Clear 150 waves in Endless Mode
Reward: 5 000 XP
Neverending Story
Clear 175 waves in Endless Mode
Reward: 15 000 XP
Gun-Builder
Build 100 Gun Towers
Reward: 3 000 XP
Gun-Architect
Build 500 Gun Towers
Reward: 15 000 XP
Missile-Builder
Build 80 Missile Towers
Reward: 3 000 XP
Missile-Architect
Build 400 Missile Towers
Reward: 15 000 XP
Laser-Builder
Build 70 Laser Towers
Reward: 3 000 XP
Laser-Architect
Build 350 Laser Towers
Reward: 15 000 XP
EMP-Builder
Build 50 EMP Towers
Reward: 3 000 XP
EMP-Architect
Build 250 EMP Towers
Reward: 15 000 XP
Teleport-Builder
Build 40 Teleport Towers
Reward: 3 000 XP
Teleport-Architect
Build 200 Teleport Towers
Reward: 15 000 XP
Ricochet-Builder
Build 50 Ricochet Towers
Reward: 3 000 XP
Ricochet-Architect
Build 250 Ricochet Towers
Reward: 15 000 XP
Engineer
Upgrade 10 towers to Max Level
Reward: 1 000 XP
Chief Engineer
Upgrade 75 towers to Max Level
Reward: 5 000 XP
Master Engineer
Upgrade 250 towers to Max Level
Reward: 20 000 XP
Spock
Upgrade 500 towers to Max Level
Reward: 40 000 XP