Urokoboshi-kun wa Uchuubito

A boy of superhuman beauty, Urokoboshi Ao, transfers to second-year high school student Tsuchiya Chikage's class... Or so it seems. Urokoboshi is actually an alien! He scatters stardust from the corners of his eyes with every blink, causes electrical appliances to malfunction with radio interference, and physically floats when he falls asleep! And for some reason, he's become attached to Chikage, expressing his affection honestly every day...

(Source: Kadokawa, translated)

Note: Includes two extra chapters.