Little Inferno - any items I shouldn't burn?

Here's a little question about the game little inferno.

Please keep your answer spoiler free regarding the story.

I'm asking this here since google does not give a definite answer and seems to be full of spoilers and I don't feel like replaying the game 5 times to figure it out :P

Are there any items your neighbour gives you you shouldn't burn? Anything that affects the game / ending?

So far I've read you shouldn't burn the free hug ticket, is that true? Any other items I shouldn't burn?

ok so if you don't burn the free hug you get a slightly different ending, but barely makes a difference