This is the complete list of unlockable achievements in Call of Duty: Ghosts on the Xbox 360, and I believe the list should be the same on the Xbox One as well.
There are nine secret achievements to unlock listed at the bottom.
Call of Duty: Ghosts Regular Achievements
All or Nothing (20) – Gather the troops
Atlas Falls (25) – Distract the Federation Fleet
Audiophile (15) – Collect all 18 Rorke files
Birds of Prey (10) – Capture Rorke
Blimey O’Riley (10) – Pounce on 10 enemies whilst controlling Riley
Brave New World (10) – Rendez-vous in Fort Santa Monica
Burn Baby Burn (25) – Destroy 80 fuel containers
Carbon Faceprint (10) – Catch the photocopier with your face
Clockwork (25) – Hack the system
Cog in the Machine (35) – Kill 5 enemies without being detected before infiltrating Black Zone
David & Goliath (20) – Take down the LCS on the first go
Deep Freeze (25) – Drop 8 vehicles into ice holes
End of the Line (20) – Storm the factory
End of Your Rope (20) – Cut a grappling hook rope with an enemy on it
Federation Day (10) – Gather intel on Rorke
Fly-by-Wire (20) – Take out 3 out of 3 helicopters with the remote missile
Ghost Stories (5) – Escape
Go Ugly Early (10) – A-10 strafe 50 enemies
Grindin’ (40) – Blow the pressure valves on your first attempt
Homecoming (10) – Defend LA
Into the Deep (20) – Destroy the enemy ship
It Came from Below! (10) – Kill 6 enemies with the knife while underwater in “Legends Never Die”
Jack-pot (20) – Destroy 21 slot machines
Jungle Ghosts (25) – Finish the mission without breaking stealth
Legends Never Die (10) – Hunt down Almagro
Liberty Wall (10) – Take down both attack helicopters in Brave New World
Loki (20) – Commandeer the enemy space station
No Man’s Land (10) – Make it to San Diego
Piece of Cake (100) – Storm the common room and kill everyone without taking damage on Veteran
Safeguard (20) – Reach round 20 in Safeguard
Severed Ties (20) – Destroy the Federation’s satellite array
Sin City (20) – Plan your next move
Sleeping Beauty (10) – Kill sleeping enemy in face down rappel section
Spatial Awareness (10) – Kill your first enemy in the Call of Duty Ghosts campaign
Struck Down (10) – Find Ajax
The Ghost Killer (20) – Confront Rorke
The Hunted (25) – Make it out alive
They Look Like Ants (20) – Destroy all enemy ground targets and kill no allies with the rods
Tickets Please (20) – Shoot the grapple guys off the side of the train
Waste Not (10) – Every shot with the remote sniper kills a person or vehicle
You’ve Earned It (40) – Earn the mask Finish the campaign on Veteran
Call of Duty: Ghosts Secret Achievements
Any Means Necessary (40) – Get 50 kills with the electric fence and fire traps in a single game
Cabin Fever (10) – Make it to the cabin
City Dweller (20) – Made it to the city
Completionist (25) – Complete all Extinction challenges and escape
Made it Out Alive (20) – Escape 1st time
No Man Left (20) – Escape with all four players
Sprinter (20) – Reach the exfil chopper with 1 minute and 30 seconds or more remaining on the clock
Throttled Escape (10) – Escape using a relic
Trash Picker (20) – Scavenge 40 items in a single game