Asobi ni Iku yo!, Omamori Himari Recommendations
Both are ecchi/harem anime with high school male protagonists surrounded by supernatural (Omamori Himari)/alien (Asobi ni iku yo) females. Both anime also have some fights.
Nekomimi girl suddenly appear to main character life and change it into a danger life: being chased, killed.
Both are harem/ecchi/action and have a lot of fanservice ^^
The female protagonists of the two anime have cat-like traits. Both are harem anime series.
Himaria a cat girl protects Yuuto because this is something she has promised to do. She falls in love with him as do other girls along the way. Where Asobi ni Iku yo! Eris is a cat alien and falls in love with a boy on earth, she starts to live with him and protect him. Other girls fall in love with him or were in love with him. Very similar stories.
Both are romantic ecchi comedies where main character gets a harem of girls attracted to him. Both get anime gets serious at the end and main character has to fight. Both feature neko girls.