Character complete, ready to act on Broadway? (6-7)
I believe the answer is:
letter-perfect
'ready to act on broadway?' is the definition.
(US term meaning knowing lines by heart)
'character complete' is the wordplay.
'character' becomes 'letter' (synonyms).
'complete' becomes 'perfect' (perfecting is a kind of completing).
'letter'+'perfect'='LETTER-PERFECT'
(Other definitions for letter-perfect that I've seen before include "(Of an actor) having learnt a role exactly" , "(Of actor) having part learnt exactly" , "Knowing one's part accurately" , "Correct in every detail - ferret pelt etc (anag)" , "(Of an actor) with part perfectly memorised" .)