Definitely Harry Potter and Batman. Harry has his own set of skills dealing with magic and the dark arts, while Batman is a master strategist and detective. They could learn a lot from each other. Batman could teach Harry about non - magical combat and investigation techniques, and Harry could introduce Batman to the world of magic.
I think Ron and the Flash would be an unexpected but cool combination. Ron has a certain kind of clumsy charm and is good at thinking on his feet in the wizarding world. The Flash with his super - speed could show Ron a whole new way of moving around. And Ron could introduce the Flash to some of the unique magical items in the Harry Potter universe like the Marauder's Map.
The combination of Hulk and Superman would be really interesting. You have two extremely powerful beings. Superman's moral compass and the Hulk's uncontrollable rage would create a great dynamic. They could have a friendly sparring match where Superman has to figure out how to hold back the Hulk without hurting him. Or they could team up against a powerful foe, with Superman using his flight and heat vision while the Hulk does his smash attacks.
Another cool combination would be Bulbasaur and Wonder Woman. Bulbasaur's plant - based powers could be used in creative ways in combination with Wonder Woman's lasso and super - strength. Maybe Bulbasaur could create vines to help Wonder Woman in combat or she could protect Bulbasaur while it uses its powers to heal or create barriers.
A really cool crossover concept could be a combined threat that requires both the skills of the Justice League and the magic of the Harry Potter world to defeat. Maybe a powerful alien sorcerer arrives on Earth. The Justice League's superpowers alone aren't enough, so they team up with Harry Potter and his friends. Harry could use the Patronus charm to fend off the dark magic of the alien, while the Flash could use his speed to quickly deliver magic items to different locations as needed.
Perhaps in the fanfiction, Voldemort teams up with some of the Justice League's villains. This would force the heroes from both universes to work together. The wizards could teach the superheroes about magical defenses, and the superheroes could share their combat and strategic skills. Also, imagine Hermione tutoring Batman on advanced magical theories. It would be really cool to see how their different worlds' knowledge would interact.
One interesting crossover could be Harry using his magic in the world of the Justice League. For example, he could use spells like 'Accio' to retrieve important items during a Justice League mission. Maybe he'd team up with Superman and use magic to enhance Superman's powers in a unique way.
One idea could be that Harry Potter is magically transported to the DC Universe and is mistaken for a meta - human. The Justice League initially views him with suspicion but then realizes his unique magical abilities could be an asset in fighting a new, magic - based threat.
In a 'Harry Potter Harem Justice League Fanfiction', it could start with Harry being transported to the Justice League's universe. He discovers that his magic is a unique power there. The harem might form as the female members of the League, like Hawkgirl and Black Canary, are intrigued by this new 'wizard' in their midst. Meanwhile, they all figure out that an old enemy of the League has teamed up with Death Eaters from Harry's world. So, they train Harry in their ways and he teaches them some magic, all while dealing with the budding relationships.
Phoebe and Sirius Black. Phoebe's free - spirited nature and her ability to sense things others can't, along with Sirius's rebellious and adventurous streak, would create a really exciting pair. They could get into all sorts of mischief and yet also solve some serious problems.
Wonder Woman and Ron Weasley could be an interesting combination. Ron is often underestimated but has a lot of heart and loyalty. Wonder Woman, with her strength and noble character, could inspire Ron to be more confident in himself. Ron could introduce Wonder Woman to the fun and sometimes chaotic side of the wizarding world. They could work together to fight off enemies, with Ron using his magical skills and Wonder Woman using her combat and leadership skills.
Yes, there are quite a few. You can start by looking on fanfiction websites like Archive of Our Own or FanFiction.net. Just search for the key terms 'Harry Potter Justice League Harem' and you'll likely find some interesting reads. However, the quality can vary greatly, so it might take some time to find one that really suits your taste.