Skiing is pretty awesome and IMO risk of concussion or serious injury is very low if you are not a freestyle or extremely aggressive/risky skier.
Football and boxing involve guaranteed sub-concussion head impacts every session and likely full concussions at least a few times a year.
A few years ago in my team of 12 -- we had 4 people in knee braces due to injuries from skiing. Given how little people actually ski, it seems like the sport with the highest injury rate (injuries per minute) -- at least based on my anecdotal data.