Agra

Fatehpur Sikri
is a UNESCO world heritage site. Built in the the 16th century by the Emperor Akbar, Fatehpur Sikri the City of Victory was the capital of the Mughal Empire for about 10 years. Then it was abandonded for reasons that are still something of a mystery. It includes one of the largest mosques in India, the Jama Masjid. It is full of well preserved palaces and courtyards, and is a must see for anyone visiting Agra. In order to get a full idea of this site it is better to take a guide ₹300 for 2 hours for its chargeless entrance part or have a good printed guide. The entrance to the site even to the yard is only without shoes.
Mathura
is the birth place of Lord Krishna. There are many beautiful temples in Mathura, including the one built at Shri Krishna's birth place.
Vrindavan
is also a religious place around 50 km from Agra, and quite close to Mathura. There are many temples here devoted to lord Krishna, a few of the more famous of which are Banke Bihari & the Iskcon Temple.
Nandgaon
was the home of Shri Krishna`s foster father, Nand. On the top of the hill is the spacious temple of Nand Rai, built by the Hat ruler Roop Singh. The other temples here are dedicated to Narsingha, Gopinath, Nritya Gopal, Girdhari, Nand Nandan, and Yasodha Nandan, which is located half way up the hill. Nandgaon springs into action every year around March for the festival of Holi, when many a tourist flock the city for the famous "lath mar holi".
Bharatpur
is about 56 km from Agra and houses the Famous bird sanctuary in which you can see thousands of rare birds including the Siberian Crane. There is the Lohagarh Fort, which remained invincible despite several attacks by the British. Just 32 km from Bharatpur is the Deeg Palace. This strong and massive fort was the summer resort of the rulers of Bharatpur and has many palaces and gardens.
National Chambal Sanctuary
70 km away is a natural sanctuary and the home of the endangered Indian gharial a relative of the crocodile and of the Ganges River Dolphin also endangered.

Note: Do not prey on Private Luxury Buses and Travel Agencies as they are very expensive and may drop you to your destination late. They'll also tell you that the bus is direct to the destination but it's not.