Looking through the rules, I don't see anything about charging. Specifically spending all your move to race across the field of battle to then attack the foe with a bonus to hit and a penalty to AC. Is there anything like that in 5E that I'm just missing?
Well, that pretty much invalidates the Charger feat by overlapping with more than half of it. And the minotaur charge with their horns. But eh, that was an underpowered feat anyway, making that move more accessible works just fine.
Other than invalidating the feat, ading a charge rule into the game doesn't break anything that I've seen. I played in 2 games that had charge rules, and both worked fine. In both the rule was very similar:
The rule: If you use your action to take the dash action and all of your movement has been in a straight line, then you may make one melee attack or one thrown weapon attack so long as the target is in line with the movement you've taken. Your speed drops to 0 until the end of turn and cannot be increased for any reason once you make the attack.
The difference was in peripheral rules around charging, including rules about setting weapons against a charge.
Technically, I also played in a game that had a homebrew warlord class that had a mechanic that allowed charging. That class, amongst other things, gave benefits to their allies so long as the allies could hear the warlord's commands, and one of those benefits was that they could make charge attacks. It was a fun class, I think, but the player running the PC was a ... challenging person.