The accounts themselves are quite interesting to read, such as this one:
January 16. The night express train from Boston was thrown from the track near Newport station, and ran along for a short distance, tearing up the rails and badly frightening the passengers. Frank Jackson, a brakeman, was thrown on to the ground with great violence and injured internally. Charles Estes, also brakeman, was thrown off and his ankle sprained. None of the 49 pass[e]ngers on board were injured.MaineGenealogy blog has a wide range of these reports available in its archives, which can be found at http://www.mainegenealogy.net/blog.html.
If you're curious about current railroad accident figures, the Federal Railroad Administration's Office of Safety Analysis has a page that lets you run reports from railroads all over the country (you can specify time frames, specific states, etc). Click here to peruse their handy report-generating page.