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It depends on what your interest really is. New Delhi has quite a lot to offer to foreigners who are looking for something different when they travel. When i travelled to India I wanted something completely different from how it is in Europe - mainly cuisine. I would recommend a couple of places:
1) Qutub Minar - a really tall brick minaret which is lovely to visit. It is also a UNESCO world heritage site. For directions of how to get there, Rome2Rio has an answer:
https://www.rome2rio.com/s/Delhi-Airport-DEL/Qutub-Minar
2) Chandni Chowk - A really really crowded place in the heart of the city. There are just too many people around you and more number of shops. And you get all varieties of Indian cuisine. I should warn you that some of them are really spicy and might not go well with people of European origin but i had a wonderful experience tasting some of the dishes made with traditional Indian ingredients. You can use the metro to get there.
Other places include the India Gate, Lotus tempel, a Red Fort (which is also quite popular), and there is a Rail musuem which was also something that I liked.