things that doesn't vs things that don't

Some examples from the web:

• The only thing that doesn't cover is your lips.
• The thing that doesn't fit, I suppose.
• That's the only part of this whole thing that doesn't make sense to me.
• Apparently, that's the one thing that doesn't fade with age.
• The jungle itself is a living, breathing thing that doesn't want to be eaten.
• - No. Just another thing that doesn't need to be in the box.
• The only thing that doesn't fear an Arrakis storm... is the worm.
• No, nothin' unusual... except one thing that doesn't belong.
• I'd like to take a bath in whatever the magical 'cause they are the only thing that doesn't hurt.
• Like a funny thing that doesn't really -
• That said, one thing that doesn't keep me awake at night Is facing the four of you in a court of law.
• I guess the only thing that doesn't change in life is that things change.
• It's been a really hard last couple days, and so please let me just do one thing that doesn't suck this week, and I will do whatever you want.
• Some thing that doesn't deserve to be breathing... the air.
• I've been going from house to house disappointing my family members all so we can have this thing that doesn't even need to happen right now.
• Exactly, and that's not the only thing that doesn't fit.
• It's a very interesting story, future boy... ...but there's one thing that doesn't make sense.
• And this sort of whole phenomenon of having short bursts of time to get things done reminds me of another thing that doesn't work when you're interrupted, and that is sleep.
• I'll tell you the thing that doesn't make sense is this valet.
• You know, there's one thing that doesn't add up, though,

Some examples from the web:

• Because you're obsessed with things that don't matter.
• Then there are other things that don't cost much and achieve absolutely nothing.
• E-e-especially things that don't belong to me.
• If I start apologizing for things that don't happen, how productive of a person would I be?
• I'm trying to keep my mind free of things that don't matter... because I have so much to keep on my mind.
• You're impatient with things that don't resolve quickly.
• Well, having faith means believing in things that don't always make sense.
• These are things that don't interest me.
• And you want to change things that don't need to be changed.
• Sometimes things that don't seem like they go together actually make a great couple.
• I also taught them things that don't know about
• I just think there are a lot of things that don't add up.
• This is one of the many things that don't add up here.
• You could have brought my daughter to me, but instead you chose to complicate our arrangement by investigating things that don't concern you.
• So we're thinking of becoming friends with things that don't die, Like goldfish or dogs.
• Grace worries a lot about things that don't even make sense.
• I can't take pictures of things that don't matter.
• They don't create things that don't exist.
• Mulder, the human mind naturally seeks meaningful patterns in things that don't inherently have any.
• Even things that don't go together, like this hat clip on the dashboard.