To show appreciation to a Japanese person, it is important to use polite language, give thoughtful gifts, show interest in their culture, express gratitude verbally, respect personal space, be punctual, use business cards, follow proper etiquette such as bowing and showing humility, be mindful of cultural differences such as not tipping in restaurants or hotels, learn basic Japanese phrases and consider sending thank-you notes. These actions demonstrate respect for Japan's rich culture and traditions.