Here is the full list of all 15 Sonic Adventure DX achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Become friends with Big.
Get Level A on all the Action Stages by using Metal Sonic.
Get all Emblems of the Chao Race.
Get all 130 Emblems.
Get all 130 Emblems by playing Sonic Adventure DX.
Get all Emblems in the Adventure Field.
Clear all 60 missions.
Get all Emblems of the Sub Games.
Get Level A on all the Action Stages.
Clear all characters stories.
Clear the Sonic story.
Become friends with E-102.
Become friends with Amy.
Become friends with Knuckles.
Become friends with Tails.