Take
Narita
Express to Tokyo Station and take
Shinkansen to
Kyoto
Station
16230 yen (Only Narita Express, it costs 2940 yen)
4 hours (about 1 hour for Narita Exp. and 2.5 hours for Shinkansen)
http://www.narita-airport.or.jp/airport_e/access/train/
(You can take
Airport Limousine
to Tokyo Station, as well. It is cheaper, but it may take much longer
depends on trafic condition.)