A four hour road trip on the Yamuna Expressway will take you to Agra where you can explore the Taj Mahal and several other forts.
A 2-3 hour road trip on the Yamuna Expressway will take you to the land of Shri Krishna where you can visit several temples of Krishna and Radha.
Jaipur is a 5 hour drive from Noida where you can explore the beauty of Rajasthan and cultures of people along with Hawa mahal.
Rishikesh is best during weekends. It gives you mountain views and the divine Ganga river, Rishikesh is 5 hours drive from Delhi/ Noida.
A 8 hour drive will take you to Shimla where you can find the mountains and peaceful places to explore.
Auli is a 10-11 drive from Noida which will give you the adventurous experience of snow.
A 6 hours road drive will take you to the Queen Of Hills Mussoorie which has enormous places to explore and a person can have the best vacation.