御願いします[onegaishimasu] please
お願い致します[onegaiitashimasu] please
哀願[aigan] supplication
依願[igan] in accordance with one's request
依願免官[iganmenkan] retirement at one's own request

願い[negai] desire
願い下げる[negaisageru] to withdraw a request
願い求める[negaimotomeru] to entreat
願い出[negaide] application
願い出る[negaideru] to apply for