一回忌[ikkaiki] first death anniversary
一周忌[isshuuki] first anniversary of death
回忌[kaiki] death anniversary
忌まわしい[imawashii] unpleasant
忌む[imu] to avoid

忌中[kichuu] mourning
忌日[kinichi] anniversary of a person's death (on which Buddhist commemorative rites, etc. are performed)
忌避[kihi] evasion
忌憚[kitan] reserve

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

御誕生日おめでとうございます[otanjoubiomedetougozaimasu] Happy Birthday
また明日[mataashita] see you tomorrow
旭日[kyokujitsu] rising sun
旭日昇天[kyokujitsushouten] full of vigor and vitality (like the rising sun) (vigour)
或日[aruhi] one day (e.g. "one day while studying, ..")

一日の長[ichijitsunochou] superiority
一日一日[ichinichiichinichi] gradually
一日一夜[ichinichiichiya] all day and night
一日増しに[ichinichimashini] day by day
一日置き[ichinichioki] every other day