斎む[imu] to avoid
斎く[itsuku] to worship
斎み垣[imigaki] shrine fence
斎日[imibi] unlucky day (according to astrology)

斎戒[saikai] purification
斎戒もく浴[saikaimokuyoku] purification
斎垣[igaki] fence around a shrine
斎宮[saiguu] the ancient imperial princesses serving at the Ise shrine

諱む[imu] to avoid
忌諱[kiki] displeasure
後の諱[nochinoimina] posthumous name

偏諱[henki] one kanji in the name of a nobleperson (with a multiple-kanji name)
偏諱を賜う[henkiwotamau] (of a nobleperson) to bestow one of the kanji in one's name upon someone (e.g. a meritorious retainer, a boy coming of age, etc.)
遠諱[onki] semicentennial memorial service