I don't have any numbers, but my impression is that it's mostly turns, although there's also a big problem with people getting "doored" (which would easily be solved by putting bike lanes between parking lanes and sidewalks, instead of between parking lanes and automobile lanes).
I was surprised to learn that left turns account for "more than twice as many serious injuries and fatalities as right turns." https://www1.nyc.gov/html/dot/html/about/leftturnstudy.shtml