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