If you liked the Capricorn anime, the Anime-Planet community thinks you'd like:
Yakumo was just a normal boy... until he died in a tragic accident. Now, resurrected by the last of a race of powerful creatures, he has become her Wu, an immortal servant. Together, they must battle against Benares, the all-powerful Wu of the dark lord Shiva. What dark secrets from Pai's past will this battle unearth?
Meet Mink, the hyper fire-haired teenage daughter of the world's greatest dragon slayer... and dragon! With the blood of both human and dragon flowing through her veins, Mink’s life is anything but ordinary -- especially since she’s in love with Dick, a musical dragon slayer! With enemies at every turn (including the half human/half slime princess Vena), Mink must try her hardest to win the affection of a man who wants nothing more than to see her dead. Can she win the guy without losing her life?
Hitomi was just a normal high school girl, until she was taken by the mysterious Van Fanel and dropped into a world of romance, magic and giant sword-wielding armor suits! Now Van, pilot of the famed armor suit Escaflowne; and Hitomi, whose hobby of predicting the future just became a frightening reality, must work together and fight the advanced technology of Zaibach: a force who want to shape Gaea to their visions of "peace". Follow Hitomi in her struggles against both these forces who seek to conquer this world, and her own confused heart.
In present day Hokkaido, dragons have begun to appear and are being mercilessly slaughtered by the humans. For one dragon named Carmine, his centuries of life will include witnessing the death of his mother and closest friends, utter destruction at the hands of invading demons, and the companionship of young women who have captured his heart. Dragon Century follows Carmine over the span of hundreds of years, as he watches the world grow and change, and upholds his vow, above all others, to protect it from those who would destroy it...
Both Capricorn and Dragon Century have a jump to "another world" in them, so there's that whole other world aspect going on. Though in Dragon Century it happens in the second episode and it's a changed Earth, it's still a different world than what we all know. They both also involve dragons, so if you like dragons you'll most likely enjoy them both.
Taking place after the second Magnificent World OVA, Mr. Fujisawa has finally married Miz, who has retired her position as Priestess of Water. In her stead, a young woman named Qawuul is brought in as the priestess, and in the tradition of the El Hazard series, falls for Makoto. However, the calm is yet again broken as the gang is transported into yet another alternate world by a mysterious man named Arjah, where new trials and mishaps as well as a new adventure awaits.