What exactly is the point of a half-Elf? In some RPGs, they combine advantages of elves and humans without the downsides, so they are, mechanically speaking, superior. Aragorn and his heritage is largely responsible for this, I suspect, who wasn't technically even a half-elf.
But they remain, in D&D, other fantasy books I've read recently, video games. Why?
And why are they all the same? I have never seen anything truly unique about a half-elf in anything I have read, including my much beloved Paksworld books. (Actual paladins who behave as proper paladins!

) They're longer lived than humans but not as much as elves, more magical than humans but not as much as elves, stronger and more agile than humans but not as much as elves, and so on. We see the pattern here?
Things may get awkward hereWhy is that so? Genetically speaking, elves and humans would have be to the same species, as half elves can have kids. This was pointed out in a recent YouTube video I watched by LindyBeige, which I'll link if anyone is interested.
Why are they the same species then but so incredibly different? What type of genetics can make elves so superior than humans but still match humans? There are some disturbing implications there, but those are not my point. I'm not sure such a thing would be feasible. Not on a biological level anyways. Spiritual and magically, yes, probably so. That is another factor to bring into account, probably in a different thread.
It would make sense if elves (or others) would be biologically distinct species with non-matching DNA and chromosomes.
What would a half elf (or other) be like in that case? Well, not like the parents. Again going back to the video, mules are a stellar example of this, hence the title, and they are neither like horses nor donkeys. Visibly different. Act differently. Very different temperament.
Now, going back to our writings, what if half-elves were like neither of their parents? How would the character respond if they were a visible outcast, unlike the majority of the rest of the world's population and unwelcome in both their parent's cultures? Interesting possibility for parallels there, but I'll leave those for another time. Do these half-Elves form their own communities and civilizations away from parent societies? Do they live as hated outlaws, cast out from everything they know, reviled and forced into crimes of desperation? Maybe they have bounties placed on them for all sorts of trumped up reasons. It happened to the Roma and Jewish peoples multiple times. Typically, however, they don't.
What about their personalities? Maybe they have the apath, ahem, patience of the elves but the lifespan of a human (or less)? How would they view life? Or the opposite? The drive and impatience of a human with the immortality of the elves? Other than characters not unlike Feanor, what would they be like? What would they do? Or maybe there's something else.
Like here's a random idea that can happen. Say there's a society that derives their value and status from the legacy they leave to their children and everything they do is aimed towards that and those without children are viewed as eccentric at best and evil at worst. Now, if there are half-elves, what if they can't have children and are so written off as failures and disgraces, cast out and driven away from civilization. Say a threat arises but everyone is so concerned over their own problems or are too paralyzed to react. Civilization is in crisis, end of the world, return of the dark lord. You know, everything a quality story requires. They need a hero and somehow one of the half-elf outcasts ends up in that position and has to enforce authority and power over the full-blooded members of the society who already hate said character. Then the hero uses outcast techniques and strategies rather than the the traditional ones. It works for a while and the enemy gets smart and adjusts. Hero gets blamed for the defeat and accused of ineptitude. With no way of doing anything of importance, from society's perspective, why does the character keep going? Or do they just give up?
See all that tension and conflict that grows from making the half-elves different? Same works for other cultures and races. Differences are good. Differences are great. They build tension and conflict, which drives the story. I guess this whole thing is just a reminder to go beyond the old tropes and, if you use them, make them fresh and more complex than usual.