I wouldn't exactly count He Is My Master. But then again, in a way, I would
Mahoraba would be a slice-of-life& anime.
(do NOT CONFUSE with Maburaho - the names look alike, but notice the lettering)
It's about a boy who comes and lives in an apartment complex, and finds that all his neighbors are strange strange people. And they're mostly female, besides the one male neighbor (who only talks using a hand-puppet and ventriloquism). It's funny, and involves lite elements of romance, but not too pervertedly.
Probably exactly what you're looking for