Thought i would recommend this anime - Time of Eve
I didn't see this mentioned anywhere when i did a search. I think i came across it on myanimelist as a recommendation after watching monster and higurashi. I was looking for something more psychological/thought provoking. This series is an ONA and has 6 episodes, some as short as 15 minutes. I watched it all in one night, and it was well worth it.
Here is a spoiler free summary from wiki:
"In the not-too-distant future, androids have come into common usage. Rikuo Sakisaka, who has taken robots for granted for his entire life, one day discovers that Sammy, his home android, has been acting independently and coming and going on her own."
Wiki classifies it as sci-fi, and myanimelist also calls it a slice of life. I'd didn't think i would like it based on the description, but since it was so short, i gave it a shot. Hope you enjoy