I've been playing Total War games, which, admittedly, might not be the most historically accurate, but the way cavalry sometimes charged straight into men and sent them flying awed me. Did horses in cavalry actually ram directly into the opposing line of soldiers historically and would this have killed or significantly wounded the enemy?
Hi u/jaecube3 ! It may be a little more time until you get your answer, but in the mean time here is an older answer from u/Hergrim about what a cavalry vs cavalry clash may have looked like for a medieval knight.
It may help to narrow down place and time period as Total War's games span a large period of time (c. 300BCE to c. 1860CE) and many cultures.