According to Shivpuran, these things should never be offered to Lord Shiva.

Source: https://www.weeklyblitz.net/news/second-monday-of-sawan-very-special-know-why-these-6-things-are-not-offered-on-shivling-rjl/

"He imagined himself to be an incarnation of Lord Shiva, and believed he could kill the woman and resurrect her," a top police official said.

Source: https://www.ndtv.com/india-news/udaipur-woman-killed-video-rajasthan-crime-news-lord-shiva-sent-me-60-year-old-man-kills-85-year-old-woman-in-rajasthan-4273638

Mahant Deependra Giri, custodian of the holy mace of Lord Shiva, popularly known as "Chhari Mubarak" said that two "Shravan" months year is an extraordinary astronomical event taking place after 19 years.

Source: https://www.ibtimes.co.in/this-years-62-day-long-amarnath-yatra-has-greater-significance-heres-why-860315

People reach the Mutt from different places and observe ‘jagarane’ (spending the night chanting names of Lord Shiva) on Maha Sivaratri and then participate in the annual car festival the next day.

Source: https://www.thehindu.com/news/national/karnataka/maha-sivaratri-celebrated-with-religious-fervour/article66525576.ece

The Himalayan cave shrine houses an ice stalagmite structure that symbolically mythical powers of Lord Shiva, according to the devotees.

Source: https://www.ibtimes.co.in/amarnath-yatra-first-batch-pilgrims-leave-cave-shrine-baltal-base-camp-860409