Here is the full list of all 59 Back to the Future: The Game - there are 30th Anniversary Edition achievements worth 1,000 gamerscore.
Found "Chuckles Lenart".
Discovered the origin of the "new" DeLorean.
Heard about the curious fate of Marshall Strickland.
Returned home.
Prevented the Great Hill Valley Fire.
Solved the saloon puzzle with no more than two trips to the second floor.
Restored Edna's memory.
Emmett completes his spectacular failure at the Expo.
Completed the glass house maze without going back up the stairs.
Impersonated three people over the phone.
Marty and Emmett head to the Expo.
Gave Emmett his Epiphany.
Broke up Emmett and Edna.
Crafted a mind map of Emmett that reveals him to be a "Degenerate Criminal."
Revealed the Hill Valley hooliganism rate.
Got Trixie ready to make Edna jealous.
Messed with Emmett's cleanser.
Rescued Citizen Brown from the Citizen Plus program.
Escaped from Marty's cell.
Layout Biff and escape the speakeasy.
Jumped into the Decycling Bin.
Got caught making out with Jennifer.
Got caught with Einstein.
Got caught with Lorraine's booze.
Used the DeLorean parts to enter Hill Valley.
Defeated Kid Tannen.
Got a gangster's girl to do the right thing.
Dried a cop out.
Enjoyed a full set from Hill Valley's leading songstress.
Broke the password code without cheating.
Tracked down a missing accountant.
Rescued Doc from Kid Tannen.
Acquired Emmett's Rocket Drill.
Delivered the subpoeana to Arthur McFly.
Managed to get 190-proof alcohol delivered to Emmett's.
Talked Emmett into completing the Rocket Drill.
Namechecked "Back to the Future" creators.
Traveled back in time to rescue Doc.
Got Doc's Notebook back from Biff.
Perfectly repeated dialog while repeating Doc's temporal experiment.
No mistakes when making rocket fuel.
Find a hidden passageway.
Defeat the Tannen Brothers in six jumps.
Rescue Arthur with minimal fuss.
Get a full explanation of your situation.
Listen to all tourist audio guides in Hill Valley.
Collect every Demerit in the game.
Tag Marty's band name.
Examine every container of contraband in the speakeasy.
Get Edna out of the courthouse.
Treats for all.
Tell the Doc truth.
Take the fewest possible trips to Emmett's lab.
Get a good look at Trixie's postcard.
Give Edna a treat.
Look for the desert plant.
Record everyone at the Expo.
Get your money's worth at the Expo.
Bust a move, 80's style.