Rajasthan is good Monsoon destination.. Go to Bundi City famous for Stepwells. You can visit Garh Palace
Chitarshala Taragarh Fort Sukhmahal Rani ji ki bawdi
84 khamba Chattri Bundi museum For bundi you should reach Kota city of Rajasthan
With west coast full of rains, and north east monsoon season on the go here are a few places to visit during monsoons. -Munnar, Asthamudi, Cochin, Idukki and Kumarakom in Kerala
-Coorg kudremukh Mysore Chikmagalur in Karnataka -Mahabaleshwar Panchgani Matheran Igatpuri Lonavala Malshej ghat and Pune in Maharashtra..
-Meghalaya, Sikkim, Assam in north east. Also Darjeeling, Shillong, Pelling. Besides rains are heavy in Delhi, Ahmedabad, mumbai, Bangalore and Trivandrum.