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

Quick Deuce (5 points): Reach Level 2 in Become Legendary mode.
Branded (15 points): Reach Level 5 in Become Legendary mode and get signed to Jordan Brand.
Dime Time (15 points): Reach Level 10 in Become Legendary mode.
Freshly Laced (25 points): Reach Level 12 in Become Legendary mode and unlock your second tier of Jordans.
They See Me Rollin'... (25 points): Reach Level 15 in Become Legendary mode.
Rare Air (35 points): Reach Level 18 in Become Legendary mode and unlock all Jordans.
Like Mike (75 points): Reach Level 23 in Become Legendary mode.
Broad Strokes (15 points): Get one level in every DNA stat level in Become Legendary mode.
Shakin' Hands (5 points): Get drafted in Become Legendary mode.
Puttin' in Work (50 points): Reach level 23 in one DNA stat level in Become Legendary mode.
Don't Call It a Comeback (5 points): Complete a 'bounce back' objective in Become Legendary mode.
Dust Him For Prints (15 points): Get every 'fingerprint' at least once in Become Legendary mode.
Gotcha (10 points): Complete a matchup objective before reaching Legend Level 10.
Strike a Match (15 points): Complete a matchup objective in between Legend Levels 10 and 17.
Face of the Franchise (25 points): Complete a matchup objective after Legend Level 17.
The G.O.A.T. (50 points): Earn all 23 Jordan Brand Milestones in Become Legendary mode.
Getting Started (5 points): Reach Level 2 for your EASBA Pro.
Starting to Make A Name (15 points): Reach Level 10 for your EASBA Pro.
Over the Hump (25 points): Reach Level 15 for your EASBA Pro.
Online Legend (75 points): Reach Level 23 for your EASBA Pro.
No 'I' In Team (5 points): Play a game on an EASBA squad.
One and Done? (15 points): Play in an EASBA Playoff Game.
Pick Up Run (5 points): Play in an EASBA Pick-Up Game.
Making Friends (15 points): Get a Perfect Team-Play Grade in an EASBA Game.
Champion (15 points): Win the championship in Dynasty Mode.
Baby Steps (5 points): Reach Level 2 GM in Dynasty Mode.
The Maestro (20 points): Reach Level 15 GM in Dynasty Mode.
Old and Wise (75 points): Reach Level 23 GM in Dynasty Mode.
Hands On (10 points): Play the Jordan Brand Draft Showcase game in Dynasty Mode.
Wooing (15 points): Sign the #1 free agent in the off-season of Dynasty Mode.
Dipping Toes (5 points): Reach Level 2 in ranked online play.
n00b No More (10 points): Reach Level 10 in ranked online play.
I Can Haz Level 15? (15 points): Reach Level 15 in ranked online play.
Pwning Teh Interwebz (25 points): Reach Level 23 in ranked online play.
Oh My (20 points): Dunk on someone a foot taller in a single player game.
Timmy! (15 points): Hit a bank shot in a game.
T-Mobile Connect From Distance (20 points): Make thirteen 3s in a single player game with one player.
That's So Euro (10 points): Perform a euro-step move then score in a game.
Hang Time (5 points): Perform a layup or dunk adjust in the air and score in a game.
Get That... (20 points): Block a shot off of the backboard in a single player game.
Sweet Lew (5 points): Make a Sky-Hook in a game.
The Quad (30 points): Get a quadrouple-double in a single player game.
Cover Boy (25 points): Score 48 points with Kevin Durant in a single player game.
Be Like Tyreke (30 points): Make a shot from behind the backboard in a game.
T-Mac 2002 NBA All-Star Game (15 points): Toss the ball off the backboard and dunk it in a single player game.
Wing and a Prayer (25 points): Make a shot from behind the halfcourt line in a game.
Makin' Em Dizzy (10 points): Combine a spin move with a spin gather then score in a game.
Get Off Me (5 points): Get fouled on a layup or dunk and make the basket in a game.
T-Mobile Get Connected (5 points): Perform an alley-oop in a game.

Additionally, there is one secret achievement:

Secret achievement (20 points): Unknown.