If you liked the Accel World anime, the Anime-Planet community thinks you'd like:
Seven kids are enjoying their summer when suddenly, a digivice appeared before them, and the next thing they know, they are in the "Digiworld." There, they meet creatures known as digimon. There are evil digimon in the Digiworld, but they are not bad in nature; rather, most of them have been turned evil by nefarious forces. Each child had a digimon waiting for them in the Digiworld; and though not all Digimon are strong, the digivice that the seven kids carry has the ability to allow their Digimon partner to evolve into a stronger type. Together, they will going to embark on a journey to save the Digiworld from pure evil and darkness!
both accel world and digimon involve a number of kids having to fight in a digital world. in accel world though the kids are the ones fighting but in digimon they have partners that fight for them. both animes see the main characters trying to defeat the "leaders" in each world, in accel world its the Legion kings and in digimon its the Dark Masters. if you liked digimon and wish to see a more grown up/mature version then you would probably like accel world aswell.
Like most boys his age, the young Renton thinks of nothing but reffing – riding trapar waves on a board – and idolizes Holland, the leader of the renegade group of reffers named Gekko State. As an orphan of a famous hero, he lives a boring life with his grandfather until the beautiful Eureka crashes, literally, into his life. Now, with the help of his newfound friend and crush, Renton finds himself living amongst the crew of Gekko State. The errands are hard and the bullying is fierce, but with Eureka by his side, Renton just might find the courage to tough it out and even save the world!
Both are ostensibly shounen titles in a science fiction setting with stylized mecha action and a romantic bent. Accel World has an obvious harem approach to the romance, where Eureka Seven focuses on a single relationship in great and heartwarming depth. Both shows involve intrigue and drama on multiple levels and a long standing overarching story.
These sci-fi anime are about massively popular (VR)MMOs and a main character meeting a very mysterious player, eventually having his/her life turned upside down as a result of meeting/becoming friends with said person. Another trait they have in common is focusing on both the game and the problems of the real world directly caused by either "The World" MMO or the Accel World.
With over 20 million players worldwide, Elder Tale is one of the hottest online RPGs. At least, it used to be only a game, until the fateful day that tens of thousands of players became stuck in the virtual world, unable to log out. For these would-be knights, healers and magicians, Elder Tale is no longer a hobby, it’s a reality, complete with tasteless in-game food, revivals upon death, and boring NPC conversations! With no other options than to accept their fates, the analytical Shiroe, perverted-and-proud Naotsugu, tiny and adorable Akatsuki and other new friends must adjust to their new lives in Elder Tale, avoiding player killers and monsters along the way!
Guided by a star only they can see, a group of maidens known as HiMEs have begun to gather at Fuuka Academy. These young women have been endowed with dangerous supernatural powers that they can use to their heart's content, but there's a price: to wield them, they must put their most important thing on the line. Now, in the midst of school work and friendships, they find themselves caught in the midst of strange conspiracies seemingly related to the terrifying monsters that attack them. Is the power of the HiMEs strong enough to save themselves and the ones they love?
Action heavy series with romantic elements. Both involve schoolchildren battling through the use of personal avatars. My-HiME is flavoured as a fantasy and fits very neatly into the magical girl genre, whereas Accel World is science fiction-themed and mostly shounen oriented.