Justice Muralidhar is perhaps best known for ruling (along with Justice AP Shah) that Section 377 of the IPC was unconstitutional in the Naz Foundation case back in 2009, a decision that was cited appreciatively by the Supreme Court when it finally held the same in 2018.

He is also known for his strong judgments against communal violence and invasion of civil liberties. He has authored judgments which include convicting the 16 UP PAC constables for the 1986 Hashimpura mass killing. He also led the bench that convicted the former Congress MP Sajjan Kumar for his role in the 1984 anti-Sikh riots.