If you're looking for anime similar to Chihayafuru, you might like these titles. All recommendations are made by Anime-Planet users like you!
Kajika is the fourteen-year-old heiress of the Burnsworth Corporation who just wants to live a normal life, but her father has other plans. He informs Kajika that her fate is a heavy one to carry and he will only tell her the full details when the man she intends to marry is by her side. As such he has set up a ‘marriage game' for her; Kajika will meet three men that he has specifically picked out and she is to select one of the three to become her husband. There's just one catch; Kajika must also make her chosen man fall for her, since the ‘suitors' are unaware of the game in which they are participating. For a girl who has never loved anyone except for her pet leopard, this game will prove to be a trial. With her over-protective childhood friend and personal shadow, Li Ren, keeping a close watch, will Kajika be able to choose who will become her lifelong partner and finally learn of her true fate?
Although Chihayafuru isn't a reverse harem anime, the feel of it is quite similar. Ayase and Kajika are both VERY similar. Strong-minded, intelligent, caring and outgoing. Hanasakeru Seishounen is more political and drama, while Chihayafuru is more of a school atmosphere and "sport" drama. Chihayafuru has more comedy but both are just as good, and keep you wanting for more.
Maya is a dreamy young girl whose clumsiness is matched only by her absent-mindedness. While others have given up on her, the legendary actress Tsukikage sees her hidden potential and offers to take Maya under her tutelage. Maya loves the theatre more than anything, and as there's not much she can do about it at home, she chooses to run away with Tsukikage. The world of theatre is harsh, however, especially for a naive young girl far away from home. While she finds new friends who support her, her mentor has powerful enemies and Maya is often on the receiving end of their ruthless plans. In face of the adversity, Maya must constantly fight to develop her skills to catch up with her unbelievably talented rival, Ayumi, if she hopes to inherit Tsukikage's legendary role: The Crimson Goddess.
Honoka Kousaka is heartbroken. Her school, Otonokizaka High, will be forced to shut down unless it can find more prospective students. Luckily, Honoka and her friends have a plan: they'll form an idol group and throw concerts to attract others to join the school! But following through won't be easy – they'll need to find talent, make outfits, find practice space, build stamina and more in hopes of keeping Otonokizaka High alive!
While these two shows aren't exactly similar on the surface, I couldn't help but be reminded of Chihayafuru while watching Love Live! Both series concern an energetic but sometimes childish redheaded high school student that drag people along into her dreams of becoming the best at whatever she's passionate about--karuta in Chihayafuru, idol singing (and saving a school) in Love Live!
On top of that, both shows are generally feel-good, but don't at all deny the difficulty needed to accomplish becoming good at a skill. Both shows focus a lot on the hours of practice and planning that can go into achieving your dreams. They also focus a lot on the groups of misfits that come together to form their respective clubs, and the interpersonal relationships between all of them. Chihayafuru does this partially through romance and a love-triangle, while Love Live! is exclusively about the friendships between the girls, but it's still rather similar in tone.
And really, when it comes down to it, both shows felt really similar to me because of how inspiring they are WITHOUT denying how difficult learning a skill can be. In fact, they even cover a lot of similar tropes for the hardships encountered (illness due to neglecting your health, strained relationships, having to go up against the best-of-the-best, etc). They're like happy, colorful sports anime without the sports.
So if you felt really inspired and comforted by one show, I think the other would give you the same feeling.