If you're looking for anime similar to Capricorn, you might like these titles. All recommendations are made by Anime-Planet users like you!
In the midst of a brutal alien invasion, 19 year old Tetsuya is in for a surprise: a close encounter with the beautiful alien princess Kahm! And the bad news? She sets her sights on Tetsuya for a sudden engagement of galactic proportions. Now, with Kahm's angry father out to execute him (did I mention he is the emperor of the galaxy?), the duo and their gang must save their marriage so Tetsuya doesn't die a virgin!
Based on different-but-similar manga by MANABE Jouji, Capricorn and Outlanders are both basically about our oridinary protagonist getting to spend time with a cute girl in a skimpy outfit and horns coming out of her head. Oh, and saving the earth from evil invaders and stuff too. Anyway, if you enjoyed fantasy adventure and mild kemono action of one, the other is bound to amuse as well.
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.