Something we would recommend if you want to get outsdide of the cities around Kyoto is the Hozu Gawa River Trip. You take a train out to the mountains west of Kyoto and take a wodden boat thorugh the mountains for two hours. For us, the most entertaining part was listening to the reactions of the Japanese girls in front of us. Good fun and beautiful scenery.
Of course, this was a bit different than the Shotover Jet River Boats in New Zealand...