Sengoku Rance fits everything but 2 and 6, depending on your limits for realistic dialogue. A lot more sexual elements than usual but it's certainly captivating both inside and out of the large number of sex-stuff. 'Tis certainly quite close to fantasy but it's good. Has some gameplay elements as well.
G-Senjou no Maou doesn't have much Fantasy or Paranormal, though it's not quite slice of life. There definitely is school, though.
Majikoi's probably your best bet. There's also the Muv-Luv trilogy, in terms of that the first one is full-on slice of life until you get to two and three which are commonly said to proceed to blow your mind in more ways than one. Might be worth looking at.