Here's the best place for you to explore the world in just one day !
Aiichi (Its capital is Nagoya) has fascinating theme park , what is called " Little World". It might reminds you of World Expo and you can walk through the park with the sight of houses of each countries and lean what their living like !
More interestingly, you can enjoy food each countries or dress in costumes and take pictures ! My friend and I tried Indian and Indonesian outfits !
Access from Kyoto : 35mins Shinkansen ride and get to Nagoya station
25mins train ride(Meitetsu Inuyama Line) and get to Inuyama station
20mins bus ride(Gifu Bus) and to get to Little World
http://www.littleworld.jp/
The more people you have in your group, the more fun and enjoyable!!
Enjoy your time in Aichi Prefecture !!