If you liked the FLCL anime, the Anime-Planet community thinks you'd like:
In a world where where humans and elves live amongst each other, we find three unlikely heroes. Mysteriously torn from the world we know, karate expert Junpei, Oscar winning actress Airi, and weapons specialist Ritsuko must find the components needed for the spell to bring them home. Components that are tattooed on the bodies of unsuspecting female elves across the land...
Well, concept wise they may not have much in common, but if you like the random off the wall crazyness of either of these, then you'd like the other, though FLCL is much crazier, they are both funny and off the wall
“Vash, the Stampede” - worth 60 billion dollars to the one who can turn him in. Bounty hunters everywhere are on the lookout for this legendary gunman, not to mention insurance agents Meryl Stryfe and Milly Thompson, who are tasked with preventing any potential damage that this Vash can cause. But with 60 billion on his head, Vash is not an easy man to find.
All Morioka Kohei wants to be a regular photographer, but all he ever seems to capture on film is ghosts! With 70 percent of his photos inhabited by the undead, Kohei has managed to gain not only a reputation, but also a job at an occult magazine. Things couldn't be more "normal" until he is sent to a obscure castle where he photographs a mysterious girl with a knack at disappearing, thus piquing his interest to return. And thus, Kohei sets out on a journey that takes him into the heart of the occult, on a mission to help the cutest vampire in existence find her long lost mother!
"FLCL" and "Moon Phase" both take would-be familiar anime tropes and rearrange them with tongue firmly in cheek. Though Moon Phase does try to be genuinely sweet and sentimental at times and FLCL doesn't give a f**k, both series are all about mixing it up. FLCL: a fighting robot comes out of a boy's head... to mainly watch birds and do housework. Moon Phase: bitten by a mysterious vampire-girl?... give her a set of neko-ears and put her to work in your grandpa's store. yup.
On the battlefields of World War II, a new threat is realized as a mysterious ship from the future is warped back in time to the 1940s. The ships' two living passengers are the only ones who know its whereabouts. Now two elite agents must stop the Nazis from capturing the survivors, finding the ship, and launching their diabolical plan to take over the world, codename: URDA.
Like FLCL, URDA is another recommendation based on the amazing strangeness and difference of style. URDA also opens a new door in the style approach. This is a very weird series, but one of my favorites.
Tatsuhiro Sato is a university dropout and a "hikikomori" – a person suffering from social withdrawal. To Sato’s dismay, his self-imposed exile from the world is rudely interrupted when a mysterious girl knocks on his door. She has charged herself with the task of curing Sato of his hikikimori ways! Now, as new problems ranging from hentai games to internet suicide spring up, can Sato manage to overcome his hermit-like ways, or will the imaginary N.H.K conspiracy force him to remain a hikikomori forever?
How interesting that this recommendation hasn't been proposed; as there is an obvious and fundamental similarity between these two anime that will make them appealing to either audience.
The development of love for someone, based on everything wrong in their life.
Major characters in these anime come to love each other by way of the negative aspects of their intrest's life. It's simultaneously baffling, yet completely understandable. Therein lies the enjoyment of these anime. You fall in love with these character's issues, too. There's comedy, sadness, bittersweetness, and revelation that really offer a sense of progression that makes Welcome to the N.H.K! and FLCL so timeless and enjoyable. I really hope that if you've seen one, you'll give the other a chance.