Do I eliminate certain movement from my routine, no matter what? Right now, I raise a weight overhead, crunch with a weight, and do ballistic movements. I do not feel they harm me. Are these a recipe for injuries, even with proper form?
Yes, some movements are unsafe. Not every person will get injured but there are exercises and activities that have higher injury rates. Specifically, the crunches you mentioned place a tremendous load on the spine. Here is an article and video on why not to do crunches and what to do instead. Stuart McGill has a lot more info if you decide to dig deeper than the article and video.
With proper form? Yes, they may lead to injuries, if you are attempting to lift more than what your body is capable of, or doing explosive movements without proper stretching and warmup. Everyone is different and the way our bodies respond to different exercises differ from person to person.
To prevent injuries, we need to keep in mind how much we are loading ourselves. Loading should be done progressively, and with proper care. If I want to overload 100lbs more in a week as a beginner, then I'm just asking for injuries, no matter how good my form is. Also, regarding explosive moments, yes, injuries may happen if not done under correct supervision. The problem with explosive movements is, sometimes it throws the form out of the window. We just get carried away and call injuries in. Does that mean we should give everything up? No, the idea is to make our bodies able enough to handle those. With nutrition, rest, and taking it easy, and doing things progressively. When our muscles and tendons are strong enough, they can withstand the explosiveness, but don't forget to warm then up with light movements and do enough stretching to make them prepared for what coming next.