This video shows all 288 reported NFL concussions in 2017

small nit pick, that’s Aussie rules football. A completely punch orientated sport. If an Aussie punches you, you will now know why.

Rugby league is most likely the version you are thinking of, matches may(not always) devolve into lots of kicking and poor ball movement. it happens, not every American football game is a thriller.

Rugby union is an alternative, slightly different rules and a kind of “down” system can speed things up.

or you can go for the basketball of rugby, sevens
https://www.youtube.com/embed/dB0osT1yxj8
oh look I shoehorned Canada into something, neat.