Answer:
A word meaning better than perfect is 'pluperfect':
'She has built a reputation as a pluperfect officer.'
'He speaks with faultless, pluperfect diction.'
The term should be used with care; many would argue that 'perfect' is as far as one can go.
A similar case is 'unique', frequently expressed as, 'He's a very unique example,'; 'This style of art is rather unique,', where, although it is correct to qualify 'unique', many think of it as meaning 'one of a kind'.