One of the 7 wonders of the world, the Taj Mahal is about a 3-4 hour drive from Delhi and can be done as a (long) daytrip. Viator offers a number of tour daytrips. Alternatively, you can hire a driver for the day and build your own tour.
Swaminarayan Akshardham is a Hindu temple and spiritual-cultural campus. The complex displays millennia of traditional and modern Hindu culture, spirituality, and architecture. Admire the beautiful location and learn more about Indian history through a life size diorama museum, a short film, and a boat ride (think "It's a Small World" for Indian history)
This museum is located near India Gate and the beautiful Kartavya path. The exhibits are varied and excellent, and it's a great way to lean about Indian history and culture in a quiet, relaxed setting for those who need a break from the noise and crowds.
The Lodi Gardens are located in the heart of Delhi, and easily accessible by metro. This British-era public park is more than just a beautiful place to go for a walk or a run, it also features ancient tombs, rose & herb gardens, bonsai trees and a lake.
The Red Fort is a landmark 17th-century Mughal fortress built in towering red sandstone, which now holds a complex of museums. The Red Fort is located in Old Delhi. If you're prepared to haggle, check out the nearby Chandi Chowk market, where Megan got her Bridal Lehenga! Try paranthas on Paranthe Wali Gali for lunch.
India Gate is an imposing triumphal arch commemorating the Indian soldiers killed in the First World War. It is located on the Kartvya Path, a wide park and walking area with greenery surround by important government buildings and museums. This area is India's equivalent to the US National Mall.