Here is the full list of all 59 Back to the Future: The Game - there are 30th Anniversary Edition achievements worth 1,000 gamerscore.
Defeated Kid Tannen.
Got a gangster's girl to do the right thing.
Found "Chuckles Lenart".
Find a hidden passageway.
Dried a cop out.
Enjoyed a full set from Hill Valley's leading songstress.
Broke the password code without cheating.
Got a full explanation of your situation.
Defeated the Tannen Brothers in six jumps.
Rescued Arthur with minimal fuss.
Tracked down a missing accountant.
Rescued Doc from Kid Tannen.
Acquired Emmett's Rocket Drill.
Flawlessly mixed up a batch of Emmett's Rocket Fuel.
Delivered the subpoeana to Arthur McFly.
Managed to get 190-proof alcohol delivered to Emmett's.
Talked Emmett into completing the Rocket Drill.
Discovered the origin of the "new" DeLorean.
Namechecked "Back to the Future" creators.
Traveled back in time to rescue Doc.
Heard about the curious fate of Marshall Strickland.
Perfectly repeated dialog while repeating Doc's temporal experiment.
Got Doc's Notebook back from Biff.
Laid out Biff.
Use the DeLorean parts to enter Hill Valley.
Get caught with Lorraine's booze.
Get caught making out with Jennifer.
Get caught with Einstein.
Jump into the Decycling Bin.
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.
Free Emmett from the courthouse.
Help Emmett's broken heart.
Break Edna's heart.
Rescue Citizen Brown.
Escape from Marty's cell.
Treats for all.
Reveal the Hill Valley hooliganism rate.
Get Trixie mad.
Mess with Emmett's cleanser.
Reveal a "Degenerate Criminal.
Tell the Doc truth.
Take the fewest possible trips to Emmett's lab.
Get a good look at Trixie's postcard.
Return home.
Emmett’s failure.
Restore Edna's memory.
Prevent the fire.
Give Edna a treat.
Look for the desert plant.
Complete the glass house maze without going back up the stairs.
Impersonate three people over the phone.
Record everyone at the Expo.
Get your money's worth at the Expo.
Solve the saloon puzzle with no more than two trips to the second floor.
Bust a move, 80's style.