Elfen Lied, Alice to Zouroku Recommendations
Girl with special powers escapes from research facility in which she was experimented upon and finds safe haven in our MC.
The main difference is that Alice to Zouroku is more light-hearted while Elfen Lied is quite violent.
Both shows involve cute girls with some sort of magic power being experimented on by scientists in a lab, in addition to slice of life moments with other characters in a house. The two plots collide in interesting ways, though while Elfen Lied takes on a very dark tone, Alice to Zouroku embraces the happiness of its characters and their powers
Its main characters are both a fugitive and is a dangerous creature .. she always sought by the investigators to be used as an experiment .. and eventually met a guy who is none other than the main characters as well ..