This is not original, but I like it:

 

Bloody Blanchett left category!

(4 letters)

Gory.

 

Cate (Blanchett) leaves category to give gory (bloody).

 

 

(By the way, she_elephant, I love your use of pp in the freshwater fish riddle.)

Yes, countessalmirena.

We need cream! The pigs squealed and Kelvin ran off; give it time, because the teacher has no alternative. (1 word, 8 letters.)

Ointment?

As correct as a ±2 next to √4 =  ... !

 

Pig's squeal = oink

Kelvin ran off = remove the k

time = T

teacher = mentor

no alternative = remove the "or"

Thus oin+t+ment, also forming the whole riddle clue "cream".

 

You're up, not_for_sale.

He said, “People are funny”, then got ¾ drunk. How clever!

(6 letters)

Yep she_el.

 

He said, “People are funny” - Art (Linkletter)

then got ¾ drunk - ¾ full

 

How clever - Artful

Small marsupial is said to be an unfeeling vampire.

1 word 6 letters