HEMS is vastly over-used in the US. Many/most areas have far more helicopters than they need and see far more utilization than is necessary. I am not intimately familiar with HEMS utilization in Europe or elsewhere, but my impression is that on the whole it is much more conservative.
After spending 12 years in the industry in 3 different programs across 5 different states, my opinion is that there are basically two categories of crashes in American HEMS:
1) The ones that are, for lack of a better term, statistically "bound to happen"
2) The ones that happen ultimately (mostly) because of business pressure
The first category are the ones that, while technically probably not "unavoidable", are unfortunately just going to happen occasionally. Things like mechanical failure, un-forecast rapid weather deterioration, etc. These are a pretty small percentage of American HEMS crashes, and I would suspect the rates are similar to elsewhere in the world.
The second category is a result of complex factors, and is largely what sets American HEMS apart from it's counterparts elsewhere. For various reasons (the persistent myth of the "golden hour", pressure to keep your base's flight numbers up so it doesn't close and you don't all lose your jobs, pressure to get back to base after a late night transport even though the weather isn't the best, etc.), pilots and crews just keep making poor decisions about when to accept flight requests. It doesn't help at all that in an attempt to keep cost down and profits up, many operations use the most affordable airframes and a minimum of equipment (NVG's, IFR, etc.) and currency training, but the bottom line in the vast majority of HEMS crashes is the crew was out flying in weather they should never have been flying in.
As far as firm statistics, they are available from several sources but suffice it to say that there are W-A-Y too many crashes, and it is a result of W-A-Y too many helicopters and the pressures that result from that. That is really all there is to it.