Paralysis of recurrent laryngeal nerve does not affect function of:
Cricothyroid muscle which lies outside the larynx is supplied by external laryngeal nerve - a branch of superior laryngeal nerve of vagus. This is the only laryngeal muscle not supplied by recurrent laryngeal nerve.
Thyroarytenoid
Lateral cricoarytenoid
Vocalis
Cricothyroid
Larynx