All of these references point to similar ideas. Erased, Anohana and Death Note all have similar plot lines dealing with death:
29 year old Satoru Fujinuma is sent back in time 18 years to prevent the events leading to his mother's death, which began with a series of kidnappings in his 5th grade year.
Five childhood companions reunite when ...
I don't have a copy on hand to check, but according to the Death Note Wiki:
"in Death Note 13: How to Read, Tsugumi Ohba states that there was no underlying reason for his choice of apples. He is quoted as saying that he liked the way the red apples contrast with Ryuk's dark appearance."
So so much for that idea. Doesn't surprise anyone.
A lot of ...
Forbidden fruit - Death Note makes many references to Christianity. The apple is popularly thought to be the forbidden fruit in Genesis, which the snake told Eve would make her smarter, open her eyes, and elevate her to the status of God. ... Eating the apple was the Original sin and the first symbol of temptation.
Here is an answer to a similar question.