I'm sure mathematically maybe, there are billions of people, but the odds of finding them seem stupidly low.
For one thing, I'm extremely intelligent. I realize that sounds arrogant or whatever, and that's now how i talk to people in real life, but this is a throwaway, and that's the truth. So if I want a girl who is of comparable intelligence, that already cuts out a really large % of the population. I'm also pretty childfree, which cuts out another significant % of the population. And while I'm by no means expecting a super model (nor am I a male model), I obviously have to find her attractive. And obviously in basic / vauge terms, they have to be a good person.
Then I'm big on sports and video games. I coach sports, and I especially strategic multiplayer games. It's not about "LIGHTNING BOLT!" or "BOOM HEADSHOT!" It's more of just that I really like puzzles that try and solve me back. And I think my favorite social setting is working as a team against other groups of people, which is another part of why I love sports and video games. Most of my male friends are people who I both play multiplayer games with, and play on sports teams with, and while I don't think two people in a relationship have to share every single hobby, I think both of those things are huge for me. I don't think I could have a super close relationship with anybody, platonic or romantic, if we couldn't share a significant amount of competitive teamwork. Plus IMO athletic girls are sexier, but physically and mentally (or at least, it gives them a chance to showcase mentally sexy attributes if they have them, as the quote goes "sports don't build character, they reveal it," and "you can learn more about someone in an hour of play than a week of conversation"). While there are women who like those things, I would think they are relatively rare compared to men, and ones who like both are even rarer.
And then even among people who are intelligent, there are often serious issues I don't know an exact word for. But basically clear thinking, cognitive biases, logically fallacies, rationality, etc... And most importantly, the ability to think about yourself from a neutral point of view. To pick one example, it makes me sick how after a controversial reffing decision in a sporting event, like 90% of one teams fans think it was a good call, and 90% of the other teams fans think it was a bad call. And I don't mean right afterwards in the heat of the moment (which is somewhat understandable), I mean even afterwards having had time to view slow motion replays and stuff. And also, not letting your mind be dominated by the status quo, I don't understand why so many people will mindlessly defend whatever they are used to. For example, if you say soccer should move from a running clock to a stop clock, most soccer fans (especially non-americans) will strongly disagree with you. But I guarantee if soccer had ALWAYS had a stop-clock, and I suggested moving to a running clock, most of those EXACT SAME PEOPLE would be defending stop clocks, and saying my idea to move to a running clock is horrible.
And finally she probably has to like Archer. Not that the show is such a big part of my life I have to share it with everybody I'm close to, just I've found it's a pretty accurate litmus test in terms of sense of humor comparability.
So, yeah. If anybody knows any at least decently attractive girls in their 20s, who are extremely intelligent, who played high level soccer and are very competitive, like competitive multiplayer video games (like I said, teamwork on puzzles that try and solve me back), are "childfree," are relatively unbiased and try and use rationality, and think Archer is hilarious, let me know. Maybe a few exist somewhere, but I doubt I will run into one.
*I'm sure this will seem overly picky to some, but if we are talking about a serious long term relationship, you should be with somewhat who is that good of a match for you, and it unfortunately happens that the attributes that make a women a good match for me probably combine to be extremely rare. Yes, I have friends who don't meet my perfect checklist for friendship, but I have multiple friends, I'm not expected to make exclusive lifelong commitments to them. Just like I've had flings with girls who don't meet all of (or even half of) this list, and enjoyed it for a while, but it's clearly not going to work long term.