There are approximately 1100 deer inhabit in Nara Park (nearby Daibutsu (Great Buddha) of Nara) in Nara prefecture, which is a neighbor of Kyoto, and you can feed those deer. There include those actually bow to greet you.

Nara Park
Address: Near the Kintetsu Nara Station, Nara, Nara Prefecture
Web: http://www.jnto.go.jp/eng/location/regional/nara/narakoen.html