Here is the full list of all 48 Rocksmith 2014 Edition trophies - there are 38 bronze, 6 silver, 3 gold and 1 platinum.
Use the One More Song feature
Complete 50 RS Recommends items
Play a Solo at >95% Accuracy
Complete Soundcheck
Earn all Rocksmith 2014 Trophies
Achieve 100% Mastery on any song
Achieve 100% Mastery on 10 songs
Play Learn A Song for 10 hours
Play Learn A Song for 25 hours
Play Rocksmith 2014 on 5 consecutive days
Hit all guitar techniques at least once
Hit all bass techniques at least once
Successfully play 30 unique chords
Play all Rocksmith 2014 songs at least once
Create and save a tone using Marshall gear
Create and save a tone using Orange gear
Create and save a tone using Eden gear
Complete 4 Session Mode Missions
Complete 60 minutes in Session Mode
Keep the band alive for over 12 minutes in Session Mode
Play with over 50 instruments
Play Session Mode between 11:59pm and 3am
Play Session Mode between 10am and 2pm
Attempt and fail Score Attack 10 times in a row
Score at least 10,000,000 points in Ducks ReDux
Score at least 10,000,000 points in Gone Wailin’
Score at least 10,000,000 points in Ninja Slide N
Complete all 6 levels in a Scale Set in Scale Warriors
Complete all 3 levels in a Progression in Return to Castle Chordead
Score at least 10,000,000 points in Star Chords
Score at least 10,000,000 points in Hurtlin' Hurdles
Score 10,000,000 points in Harmonic Heist
Score 10,000,000 points in Scale Racer
Score 10,000,000 points in Temple of Bends
Score 10,000,000 points in String Skip Saloon
Clear 50 songs on Score Attack Easy, Medium, Hard or Master
Clear 30 songs on Score Attack Medium, Hard or Master
Clear 20 songs on Score Attack Hard or Master
Clear 1 song on Score Attack Master
Clear 15 songs on Score Attack Master
Get Platinum on Score Attack Easy, Medium, Hard or Master
Get Platinum on Score Attack Medium, Hard or Master
Get Platinum on Score Attack Hard or Master
Get Platinum on Score Attack Master
Get a streak over 250 that bridges multiple songs
Complete 214 Missions
Complete 500 Missions
Exclude a song from the Nonstop Play playlist