Here is the full list of all 30 Jet Set Radio achievements. It takes around 30-35 hours to unlock all of the achievements on Windows.
Finish the game without anyone latching onto you
Complete every level with a Jet rating in all game modes
Complete all missions with any rating
Unlock all songs in the bonus menu
Use all graffiti in missions
Unlock Pots and use him as a player character
Unlock all characters
Unlock Goji and use him as a player character
Collect all Graffiti Souls
Unlock non-masked Poison Jam and use him as a player character
Unlock Noise Tank and use him as a player character
Unlock Poison Jam and use him as a player character
Unlock Love Shockers and use her as a player character
Tag at least one rival gang member within 30 seconds
Destroy all helicopters in a level
Shove the two civilians in No. 540 level before the choppers show up
Draw graffiti 5 times on Onishima's back
Unlock Garam and use him as a player character
Perform a 100+ trick combo
Complete the tuorial
Complete Chapter 3
Complete a level without collecting a Recovery Spray Can
Complete Chapter 2
Create your own graffiti in all sizes
Complete Chapter 1
Make 100 civilians jump out of your way
Fall more than 20 meters off a building
Unlock Gum and Tab
Start the game for the first time
Perform a Turn Trick in game