Here is the full list of all 44 FIFA 16 achievements worth 1,000 gamerscore. It takes around 15-20 hours to unlock all of the achievements on Xbox 360.
Beat an opposing player using no touch dribbling
Sign a Loan Player from the EASFC Catalogue
Purchase an EA SPORTS Football Club Catalogue item
Assist a goal using a driven ground pass
Have 100% shot accuracy in a match (10 shots minimum)
Substitute your star player in a match (highest rated player in the team)
Have more than 65% possession in a match
Finish a match without conceding a foul against you (offsides do not count)
Score a goal with a curled shot from a free kick
Score 2 goals from a corner in a match
Win a penalty shoot-out
During open play, score a long-distance goal with a defender (25 yards out)
Win a match against the Legendary CPU after being down at half-time
Win all 4 matches in an Online Draft Mode session in FIFA Ultimate Team
Win all 4 matches in a Single Player Draft Mode session in FIFA Ultimate Team
First appearance of a player bought from the Transfer Market in Ultimate Team
Have a player score their 50th goal at the club in FIFA Ultimate Team
Win a Friendly Season in FIFA Ultimate Team
Buy a player from the FUT Transfer Market and earn his loyalty by playing 10 or more games with him
Apply your first Chemistry Style consumable in FUT
Challenge and complete a match against the Team of the Week in FUT
Win a division title in FUT Seasons
Change your captain in FUT
Play a full match with the "FIFA Trainer" overlays turned on
Sign a world class player in manager Career mode (80+ rated)
Earn a Promotion in Seasons
Finish an Online Friendlies Season
Share an EA SPORTS Football Club Activity
Gift an EA SPORTS Football Club Catalogue item
Play a women's football match
Win the Women's International Cup tournament
Score 5 goals in a women's football match
Perform a slide tackle and keep possession of the ball in a women's football match
Score a goal with Flair Shot in a women's football match
Scout and find a player with any combination of 3 GTN player attributes
Win a Trophy as a Team manager
Get your Play as Player to be featured in the Team of the Week
Complete all Drills in FIFA Basics
Fill up all Team Sheets slots
Create a New Team Sheet
Buy a player which is in a league above you
Play a consecutive match in Seasons
Copy a Squad from the end of an online match in FIFA Ultimate Team
Score a goal after 10 consecutive passes in the opposing third of the pitch