I feel the same way. Something about the mode of transport makes it so much more reassuring to me. Accidents even when they do happen seem to rarely impact passengers. Its usually things in the way of the train that meet unfortunate outcomes.
The Shinkansen has a perfect safety record and has been in operation for 53 years, carrying over 10 billion passengers. This is a train I could sleep on. It's probably safer than being in my house.