Private day tours in India offer a convenient and personalized way to explore the country's rich culture, history, and natural beauty. Here are a few popular options for private day tours in India:

1. Golden Triangle Tour: This tour covers the three most popular tourist destinations in North India - Delhi, Agra, and Jaipur. This tour offers an opportunity to explore the historic monuments like the Taj Mahal, Qutub Minar, and the Red Fort.

2. Heritage Walk Tour: This tour offers an opportunity to explore the rich heritage of a city. It includes guided walks through the city's historic monuments, temples, and markets, providing an insight into the city's culture and history.

3. Food Tour: This tour offers an opportunity to explore the local cuisine of a city. It includes visits to local food markets, street food stalls, and traditional restaurants, providing an insight into the city's culinary heritage.

4. Culture & Arts Tour: This tour offers an opportunity to explore the rich cultural heritage of a city. It includes visits to museums, art galleries, and cultural centers, providing an insight into the city's art, music, and dance.

5. Nature and Adventure Tour: This tour offers an opportunity to explore the natural beauty and adventure activities of a city. It includes trekking, hiking, rock climbing, river rafting, and other adventure activities in the surrounding areas.

6. Customized tour: You can also opt for a customized tour according to your preferences, interests and timings.

When planning a private day tour, it is important to consider the tour's cost, duration, and level of activity.