Book Detective: Guess the Sci-Fi or Fantasy Story By Its Summary

Can you name the science fiction or fantasy book/movie based off of these zany summaries? 

1. Four children team up with a pair of beavers, Santa Claus, and a supernatural lion in order to defeat a sadist obsessed with winter.
2. A farm-girl forced to marry a sadistic prince against her will is rescued by her mostly-dead true love, with the help of a repetitive Spaniard, a hippopotamic land mass, and a man who makes Socrates and Plato look like morons.
3. Three crazy ladies named for subordinating conjunctions visit a fatherless family to engage them in a universal battle against a very creepy brain thing who holds their father--and an entire world--captive.
4. Nine people and their respective races try to undo the mayhem caused by a small piece of bling that an evil eye lost.
5. A young man joins a nerf-herder, a walking carpet, and a princess to face his mechanical father and a cackling hooded monarch in an epic battle of light against dark.

6. An assistant pig-keeper tries to keep his pig safe through various adventures, accompanied by a bard with a problematic harp, a mass of fur and leaves obsessed with food, a dwarf who holds his breath, and a girl who won't stop talking.

7. A madman in a blue box goes through various fashion obsessions--from long stripey scarves to fezzes--while navigating awkward relationships with various adoring females.

8. An outcast man can't decide whether to help or to stay on the sidelines, even when a lot of people tell him that he needs to use his wedding ring to save the world.

9. A fireman defies his society and reads a book, then finds other people who read books. (Not so different than today, right? Nobody reads anymore.)

​10. A little boy bred to be a space general learns a lot about bugs and how to kill them.

Name the stories in the comments below! If you're particularly enterprising, come up with your own summaries and I'll try to guess them.