1The year after next — two years from the current year. Can also be used adverbially, as in 'the year after next, I plan to...'.
再来年、娘は小学校に入学する。
My daughter will start elementary school the year after next.
この計画は再来年までに完成させる予定だ。
This project is scheduled to be completed by the year after next.
再来年には契約が切れるので、今から準備している。
The contract expires the year after next, so I'm preparing for it now.