1. period; time
受験期になるともっと難しくなってくるんだから今だよ。It will become even more difficult when the exam period arrives, so now is the time.
2. opportunity; chance; occasion
彼が一歩離れたのを期に、私は扉に向かった。Taking the opportunity of his stepping back one step, I headed for the door.
3. age
4. term (e.g. in office)
彼は三期連続で会長に選ばれた。He was elected chairman three terms in a row.
5. session (e.g. of parliament)
6. stage (e.g. of a disease)
この病気は三つの期に分けられる。This disease is divided into three stages.
7. season (e.g. of a TV series)
このアニメの第三期が来年始まる。The third season of this anime starts next year.