Most isekai-style shoujo stories are about girls getting sucked into alternate fantasy worlds. Far less common are ones about time-travel, and rarer still are ones about guys. This might be the only one I've seen that combines the two.
YUKARISM, by Chiaki Shiomi. First published in 2010 and first published in North America in 2014.
PLOT:
Yukari Kobayashi is a bestselling author of historical fiction at the tender age of 17. When his classmate and super-fan Makoto comes to his home to deliver some assignments, she discovers the secret to Yukari's success. Yukari's books are so lifelike because he's drawing from his own past memories as a Edo-era oiran. The more Yukari draws on his past, the more the boundaries between the present and past blur. Stranger still, Yukari starts recognizing other figures from his current life in the past, and they all seem to be connected to a mysterious fire that killed his past self hundreds of years ago.