Warangal (140km northeast, around 3 hours by train or road) was the capital of the Kakatiya dynasty before Hyderabad existed. The 13th-century Warangal Fort and the Thousand Pillar Temple — with its intricate basalt carvings — are among the finest examples of Kakatiya architecture. A direct train makes this feasible as a long day trip.
Nagarjunakonda (160km southeast) is a Buddhist archaeological site of the first importance, now largely submerged by the Nagarjuna Sagar reservoir. A boat takes visitors to the island museum where sculptures and ruins were relocated before the dam was built. The setting — water, hills, and ancient stonework — is striking.
Bidar (130km north, just across the Karnataka border) was the capital of the Bahmani Sultanate in the 15th century and has some of the most undervisited medieval architecture in the Deccan: the Bidar Fort, the Mahmud Gawan Madrasa, and the Bahmani Tombs. Far quieter than Hyderabad's main sites.
Ramoji Film City (30km east) is the world's largest integrated film studio complex, a Guinness record holder. Largely aimed at Indian families and film fans, with studio tours, sets from famous Telugu and Hindi films, and theme-park elements. Not for everyone, but very popular.