Bhopal is a city rich in heritage and history. It's an amalgam of the old and the new, the rich and the poor, the wide roads of New Bhopal and the narrow "gullies" of Old Bhopal and a mix of planned development on one side with urban sprawl on the other.
There are various old mosques in Bhopal that will give you a glimpse into the Mughal architecture, some of it from before the British raj and the people of Bhopal, particularly the mix of the Muslim and the Hindu population will also give you a glimpse of what makes India tick with different religions and cultures living together.
Some of the mosques and temples that are worth visiting are:
23.2629977.392911 Taj-ul-Masajid. One of the largest mosques in the country. (updated Jan 2017)
Bhojeshwar Temple (If you have a car, it can be reached on the way back from Bhimbetka to Bhopal, though it might take another 20–30 minutes.). The construction of the Shiva temple began in the 11th century but was never completed. It boasts the largest Shiva-linga in India.
23.2515277.523742 Laxminarayan Temple (Birla mandir). 06:00 to 20:00. free.
23.2832677.364013 Takeri (Manuabhan Tekri). A very beautiful place is known as "Takeri". It is near Lal Ghati. Here is a Temple on the hill. To reach temple by the rope way or by the road or stairs. You can see a beautiful view of Bhopal from Takeri.
Recommended is a visit to Old city market (chowk bazaar) and walk around the narrow lanes to see how the old city functions and also to get some great bargains on the special arts of Bhopal like the bead work and the hand embroidery for which Bhopal is known.
On the modern side, the Government of Madhya Pradesh has made significant efforts to make Bhopal an important seat for the arts. Bharat Bhawan  is an example of this and it is a centre for performing arts with many nationally renowned artists showcasing their art through this institute. The institute boasts of art galleries, an outdoor theater, and a library rich with history of Indian poetry and arts.
23.24702477.392334 Bharat Bhavan, J. Swaminathan Marg, Shamla Hills, Near Upper Lake, ☎ +91 755 266 0239. Bharat Bhavan is a world famous art complex and museum.
22.93722277.61255 Bhimbetka (Rock Shelters of Bhimbetka). Bhimbetka is a World Heritage site and has some of the oldest cave paintings of the world. Situated about 40 km from Bhopal, you can go there by bus. Make sure the driver knows where you are going and he will let you off in what first looks like the middle of nowhere. However, clear signs will now guide you through a 3 km walk uphill to the cave paintings. To get back, just wait for a bus at the road and waive. Taxi from Bhopal is of course a more comfortable option. A guide at the cave paintings is recommended and costs around ₹150.
Bheem Baithika Caves Paintings
23.2320477.377746 Indira Gandhi Rashtriya Manav Sangrahalaya (Museum of Mankind). Another impressive museum; the Museum of Man created by the government of Madhya Pradesh, showcases how the people of the state live in their natural form, what they cultivate, the kind of tools they make and utilize in their daily lives etc. It has been created sprawled on a small hill and gives breath taking views of the city.
23.2322877.377617 Manav Sangralay (Indira Gandhi Rashtriya Manav Sangrahalaya). A museum of urban tribal culture.
23.2360677.390048 Science Centre (Regional Science Centre). A science museum located at Shyamla Hills.
There are two lakes in the centre of Bhopal.
23.2532477.338199 Upper Lake. Upper Lake (Bada Talaab) is a beautiful water body created during the time of King Bhoj. The water of Upper Lake was reputed to have cured Raja Bhoj of a skin disease which otherwise remained untreated. Today, you can rent boats, indulge in other water sports related activities and enjoy the splendor of the lake.
23.2484877.4056510 Lower Lake. The Lower Lake (chota talaab) was created during the Mughal empire. This lake is separated from the Upper Lake by an over-bridge.
Along the Upper Lake and surrounding hills, the Forest department of Madhya Pradesh has created the biggest animal conservation area in the middle of a city. You can see tigers, leopards, bears, different types of water animals, birds, deers etc. as you drive around "Van Vihar"
23.2294877.3697711 Van Vihar (Van Vihar National Park). Van Vihar is a wildlife sanctuary.