Here is the full list of all 60 Rocksmith achievements.
Collect all bass gear
Using a mic, sing along and achieve Good Singing
Reach Rank 10
Beat 5,000,000 points in the Guitarcade game: Quick Pick Dash
Complete all Technique Challenges to Gold
Complete all Bass Technique Challenges to Bronze
Play multiplayer with 2 guitars
Reach Rank 9
Beat 200,000 points in Master Mode
Reach Rank 8
Collect 50 effects pedals
Complete all Technique Challenges to Bronze
Play the Guitarcade game: Dawn of the Chordead
Beat 100,000 points in a Chord Arrangement
Beat 100,000 points in a Single Note Arrangement
Play the Guitarcade game: Quick Pick Dash
Create and save a custom tone
Play the Guitarcade game: Super Slider
Collect all basses
Reach Rank 7
Play the Guitarcade game: Harmonically Challenged
Reach Rank 6
Play the Guitarcade game: Big Swing Baseball
Reach Rank 5
Beat 100,000 points in a Bass arrangement
Earn a bass pedal, amp, or cabinet
Complete a bass event
Play the Guitarcade game: Scale Runner
Play the Guitarcade game: Super Ducks
Reach Rank 4
Reach Rank 3
Beat a 25 Chord Streak
Use the Tuner to tune to Drop-D
Beat 100,000 points in a Combo Arrangement
Beat a 750 Note Streak
Beat a 500 Note Streak
Visit the Shop
Reach Rank 2
Play the Guitarcade game: Ducks
Play a bass arrangement
Play a song with emulated bass using a guitar
Beat a 5 Chord Streak
Play a Double Encore
Play an Event
Play an Encore
Beat a 100 Note Streak
Use the Amp
Complete Soundcheck (Reach Rank 1)
Beat 1,000,000 points in the Guitarcade game: Harmonically Challenged
Beat 2,000,000 points in the Guitarcade game: Big Swing Baseball
Beat 10,000,000 points in the Guitarcade game: Ducks
Beat 150,000,000 points in the Guitarcade game: Super Ducks
Beat 50,000,000 points in the Guitarcade game: Scale Runner
Beat 15,000,000 points in the Guitarcade game: Super Slider
Beat 1,000,000 points in the Guitarcade game: Dawn of the Chordead
Reach Rank 11
Collect all guitars
Complete a Master Event
Complete all Bass Technique Challenges to Gold
Reach rank 11 on Bass