PhD application: Writing summary of accomplishments
Accomplishments that most potential employees, guides, student application reviewers, etc are looking for are positions, rewards, recognitions, etc that indicate achievements and are demonstrative of work culture, personal capability of setting and achieving goals, intellectual level, skill development, attitude and knowledge, specialization, tenacity, continuity, etc. 

The rough rule of thumb is that 'anything won in a competition is an accomplishment'. 

Accomplishment is also attainment of certain position or degree or diploma or certification gained through some labour, study, test or recognition. 

Hope this helps.