We will not have the Jungle Book if the British lose India as Kipling was born in India and returned as an adult and the chance of him visiting if the British were no longer in control is much lower. The Suez decreases in value as well without it being a connection to the Raj, no Afghanistan invasion potentially (depending on when they lose India) which will have an impact by not losing soldiers there so a look into the effects of losing in Afghanistan had on British politics and people would help. Containing Russia likely just got harder and they may see them as more of a threat so you would have more rhetoric against Russia. Even giving a decade for when India would be lost to the British would matter as that impacts which events have happened and which will be prevented. A loss of India near the end of the 19th century, especially if there was Russian involvement or influence is going to drive anti-Russian politics back home.