Itinerary for 3 day trip to Japan

Here's an ideal itinerary for 3 days in Japan, based on your constraints:

Day 1: Osaka and Nara

Start the day with a visit to , one of the most famous landmarks in the city.
Next, head to , a popular shopping and entertainment district known for its neon lights and street food. Be sure to try some local specialties like takoyaki (octopus balls) and okonomiyaki (savory pancakes).
After lunch, take a train to Nara, a historic city known for its temples and deer park. Visit , which houses the world's largest bronze statue of Buddha, and feed the friendly deer that roam freely around the park.
End the day with dinner at a local restaurant in Nara, where you can try traditional Japanese dishes like sushi, tempura, and udon noodles.

Take an early morning train to Hiroshima, a city that has risen from the ashes of the atomic bomb to become a symbol of peace and resilience.
Visit the , which commemorates the victims of the bombing and promotes nuclear disarmament.
After lunch, take a ferry to Miyajima, a small island known for its iconic torii gate that appears to float on the water. Explore the island's shrines and temples, hike to the top of for panoramic views, and sample local delicacies like oysters and momiji manju (maple leaf-shaped cakes filled with sweet bean paste).
Return to Hiroshima for dinner at a local restaurant, where you can try Hiroshima-style okonomiyaki, a savory pancake made with layers of noodles, cabbage, pork, and egg.

Take a morning train to Kamakura, a coastal town known for its temples and beaches. Visit the Great Buddha of Kamakura, a bronze statue that dates back to the 13th century, and explore the , which offers stunning views of the sea.
After lunch, take a train to Hakone, a mountainous region known for its hot springs and scenic beauty. Take a cable car up to Owakudani, a volcanic valley where you can see steam vents and try black eggs boiled in sulfuric hot springs.
End the day with a relaxing soak in an onsen (hot spring) and dinner at a local restaurant, where you can try regional specialties like kuroge wagyu beef and yose nabe (a hot pot dish).