Slice of Life

In anime and manga, slice of life, abbreviated SoL, is a genre where the series focus on the daily, mundane lives of the characters. What this means exactly depends on what those characters are and what in the world are they doing daily.

Often, a slice of life series will feature a tranquil atmosphere, since most characters will be friends, or classmates, or colleagues working for the same company, and all they'll do is just do mundane stuff like joke around, study for the finals, and prank each other.

The term for "slice of life" in Japanese would be nichijoukei 日常系, which translates to "daily life-class." See the -kei ～系 suffix for reference.

Funnily enough, the manga and anime Nichijou 日常, "Daily Lives," is one such slice of life, nichijoukei, series. It's also a comedy, or rather, joke, "gag," gyagu ギャグ, series, and a CGDCT series.
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-kei ～系 - Suffix

In Japanese, -kei ～系 means "class" in what's probably the hardest to understand way possible. It's better translated as "type," "sort," "kind," or even "category." It's a suffix, going after whatever sort of sort you're talking about.

Although complicated to understand literally, the way kei 系 is generally used is to what "kind" of thing you like. For example, nichijou 日常 means "daily life." So nichijou-kei 日常系 means "daily life kind." A nichijou-kei anime is a slice of life anime, an anime categorized by dealing with the daily lives of characters, their nichijou.

The term "visual-kei band," or vijuaru-kei bando ヴィジュアル系バンド, is band classified by their focus on the visual: clothes, style, etc. rather than their music.

The terms nikushoku-kei 肉食系 and soushoku-kei 草食系 are "carnivore-class" and "herbivore-class," but it doesn't refer to animals, those are romantic personality types based on carnivores and herbivores, predators and preys. Although gender-less terms, the former generally refers to a girl who assertively goes after guys, and the latter generally a guy that's too timid to go after girls.

The word gyaru-kei ギャル系 would be literally "gal-class." This gal, gyaru ギャル, is a kind of look. So we can assume gyaru-kei refers to clothes "classified as gal," clothes a gyaru wears, that makes you look like a gyaru, of the gyaru kind, and so on.
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soushokukei 草食系

In Japanese, soushokukei 草食系 means a kind of person that's passive in romantic or sexual relationships. Generally, it means a guy that's too shy or weak-willed to ask out and date a girl he's interested in.

It comes from soushoku 草食, literally "grass-eating," which is the term for "herbivore" animals, the prey that the predators go after. Plus the -kei ～系 suffix, "class," so soushoku-kei, "herbivore-class."

Although soushokukei is gender-neutral and can qualify a woman too, traditionally, it's women that are asked out by guys, so they're assumed to be soushokukei by default. It'd be redundant to call a woman soushokukei, so it tends to be a guy who's soushokukei instead.

Conversely, the term nikushokukei 肉食系, from "carnivore," refers to someone who's romantically assertive, that is, what guys are assumed to be, so it tends to refer to romantically assertive women.

If we were to be explicit to avoid any ambiguity:

• soushoku-kei danshi 草食系男子
  soushok danshi 草食男子
  Herbivore-class guy.
  Herbivore guy.
• soushoku-kei joshi 草食系女子
  soushoku joshi 草食女子
  Herbivore-class girl.
  Herbivoregirl.
• nikushoku-kei danshi 肉食系男子
  nikushoku danshi 肉食男子
  Carnivore-class guy.
  Carnivore guy.
• nikushoku-kei joshi 肉食系女子
  nikushoku joshi 肉食女子
  Carnivore-class girl.
  Carnivore girl.

By the way

• kusa 草
  Grass.
• Also means "lol," see: kusa 草 internet slang.
• taberu 食べる
  To eat.
• soushoku doubutsu 草食動物
  Grass-eating animal. Herbivore animal.

In recent years, with Japan's declining birth rate, and now declining population, soushokukei became a popular term to blame a generation of guys that's not being assertive enough to make those babies and keep the next generation's workforce staffed.

Now, whether this is because of economic anxiety or just because there are too many guys who became otaku オタク and then decided a 2D waifu is as good or better than a 3D girl in flesh, I don't know. That's not the theme of this site.

All I know is that soushokukei is one of the many Japanese words referring to personalities of people. Because Japanese people love making up words to refer to personalities.

Just like tsundere, or, something that's more relevant to this article: literally just the letter M, short of "masochist" personality, which's used in ways in Japanese you wouldn't use the word "masochist" in English. See do-M, do-S ドＭ, ドＳ for reference.
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nikushokukei 肉食系

In Japanese, nikusokukei 肉食系 means a kind of person that assertively, aggressively or even predatorily seeks romantic or sexual relationships.

It comes from nikushoku 肉食, literally "meat-eating," which is the term for "carnivore" animals, predators that go after prey. Plus the -kei ～系 suffix, "class," so nikushoku-kei, "carnivore-class."

Normally, society assumes guys chase girls. Guys chase skirt. And girls are the ones being chased. They're the pure "maidens," otome 乙女. And, in fact, some want to be chased. They don't want to be proactive, take the first step, and confess to the guy they like. They want the guy they like to confess to them, so they can feel their worth recognized.

So guys are assumed to be nikushokukei by default. In which case, it becomes redundant to call a guy nikushokukei. When nikushokukei is used, it tends to mean women that take the first step instead of men. Women that do go after the guys they want. Women that make the cheesy pick-up lines and so on. This is despite nikushokukei being technically gender-neutral.

Conversely, the term soushokukei 草食系, from "herbivore," is used when you have a guy that's too shy to ask girls out and must be asked out instead by a nikushokukei girl or something like that.

If we were to be explicit to avoid any ambiguity:

• nikushoku-kei joshi 肉食系女子
  nikushoku joshi 肉食女子
  Carnivore-class girl.
  Carnivore girl.
• nikushoku-kei danshi 肉食系男子
  nikushoku danshi 肉食男子
  Carnivore-class guy.
  Carnivore guy.
• soushoku-kei joshi 草食系女子
  soushoku joshi 草食女子
  Herbivore-class girl.
  Herbivore girl.
• soushoku-kei danshi 草食系男子
  soushoku danshi 草食男子
  Herbivore-class guy.
  Herbivore guy.

Note that in Japanese the word bitch ビッチ, meaning "slut," refers to a woman who would have sex with anyone. This isn't the same thing as nikushokukei for two reasons:

1. Just because a woman is assertive romantically that doesn't mean she's promiscuous. She might simply be assertively dating her one and only love. Who might be a soushokukei that would never muster the courage to confess to her, so she has to take the matter in her own hands or the ship won't sail.
2. A sexually promiscuous woman doesn't necessarily go after guys, it could be simply that she accepts any guy that goes after her. So soushokukei and bitch aren't mutually exclusive.

In case you're wondering: yes, these words are used toward real people. They're not technical terms, they're kind of like slangs, but they are used toward real people.

Within the anime fandom, one thing that's not exactly the same thing, but helps illustrate it, is the term oneshota おねショタ. It refers to a pairing (ship) of one "older girl," oneesan お姉さん, with a "young boy (character)," shota ショタ. Maybe because the girl is older, she ends up taking the lead in the ship, so it's like the girl is nikushokukei.

Also in the anime fandom, seme and uke can refer to who's assertive and who's passive in a heterosexual ship, although they're more commonly used with homosexual ships. 

By the way

• niku 肉
  Meat.
• taberu 食べる
  To eat.
• nikushoku doubutsu 肉食動物
  Meat-eating animal. Carnivore animal.
• gyaku-nanpa 逆ナンパ
  Girls hitting on guys. Reverse nanpa.
• nanpa ナンパ
  Hitting on someone. Generally guys hitting on girls.

Also note that kuu 食う is a more colloquial word for "to eat" that's also a sexual innuendo:

• onna wo kuu 女を食う
  To eat a woman. (literally.)
  To have sex with a woman. (innuendo.)

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