LuisCarlos17f
Legend

* What about the other races? for example the pegataur and the manotaur were D&D canon monsters.
I don't like the Charge being 1/rest. Yeah, yeah, I get why they did that, but it just feels so artificial. I'd rather it came with some kind of downside or risk.
One thing about centaurs and size is that, although they are large, in the MM, they don't count as large for damage considerations, their weapons still do damage as a medium sized creature unlike, for instance, and ogre which doubles weapon damage dice.
It shows how determined they are not to allow large PCs, given that is states centur PCs are medium, even though they are normally large (as are horses).
I don't like the Charge being 1/rest. Yeah, yeah, I get why they did that, but it just feels so artificial. I'd rather it came with some kind of downside or risk.
They wouldn't be the only race limited to 1/rest or some other artificial limit. A quick list:
Drow, triton yuant-ti and tiefling innate magic 1/rest (excluding cantrip powers)
dragonborn breath weapon 1/rest
half-orc relentless endurance 1/long rest
aasimar healing hands and subracial aura abilities both 1/rest
firbolg hidden step 1/rest
goliath stone's endurance 1/rest
lizardfolk hungry jaws 1/rest
hobgoblin saving face 1/rest
goblin fury of the small 1/rest
kobold grovel, cower and beg 1/rest
bugbear surprise strike 1/encounter (even weirder)
Based on that list, Charge 1/day isn't unreasonable given the design choices of the races so far...
There is a general problem with Large PCs; per the rules, they're pretty screwed when it comes to dungeons and the like.
The biggest problem isn't reach (as there are quite a few monsters that are large that don't have reach; minotaurs and centaurs in the MM both lack it, as do ogres and trolls). The biggest issue is space. A large creature "fills" a 10' x 10' area, and can only squeeze into an area 1/2 as big (5 ft), and doing so has terrible penalties...
[Sblock=SQUEEZING INTO A SMALLER SPACE]
A creature can squeeze through a space that is large enough for a creature one size smaller than il. Thus, a Large creature can squeeze through a passage that's only 5 feet wide. While squeezing through a space, a creature must spend 1 extra foot for every foot it moves there, and it has disadvantage on attack rolls and Dexterity saving throws. Attack rolls against the creature have advantage while it's in the smaller space.[/sblock]
Which isn't a problem I guess when you're dungeons are 10' wide hallways, but if your hallways are 5' wide then your large PC is at severe disadvantage. Worse, if you make it less than 5' (such as a tunnel or goblin warren) then they can't even enter at all!
I have a feeling that moreso than any other reason, this is why the keep trying to cram goliaths, firbolg, minotaurs, and centaurs into medium+ rather than large. Silly as it seems, a medium-sized centaur isn't going to sit out a session because the group opts to crawl into a 3 ft hole in the wall...