This is a general list of "must-watch" anime oriented for those who are new to the medium. Each title that is added to this list should have at least a small description on its own page. The following shows are popular and critically acclaimed, though some may not align with your own personal taste.
Also check out EcchiMaster's Recommendations(nsfw)(if you're into that kind of thing).
Editor's Note: Please keep each genre limited to 12 recommendations each. Any more than that has a tendency to be overwhelming to people new to anime.
Slice of Life
Honorable Mention/Anime That Didn't Fit in Other Genre