I'm gonna list the ships I don't get or the ones I don't ship and why. Now, I understand that a lot of people ship these ships and please don't get mad at me for saying I don't ship them. I don't ship them. That doesn't mean you can't. I really don't want a ship war on my hands or a bunch of hate comments. Its just my opinion.
Okay, let us begin.

Pernico

Before you start yelling at me about how this is your OTP and all the how could you CBG? You're evil CBG. We hate you for not shipping Pernico!
I know.
I'm sorry.
I understand why you would ship them. The fact that Nico had a crush on Percy and everything Nico has done for Percy. Etc.
I'm hardcore Percabeth. Percabeth is one of my major OTPs. Percy and Annabeth are perfect for each other. Don't seperate them. They are inseparable.
I ship Percabeth. Not Pernico. I'm sorry (not really)
And Nico is way younger than Percy, there's like a four year age difference. I like them better as friends.
Nico: and I'm not his type
Percy: you had to bring that up?!
Annabeth: you have me!
I do however ship Solangelo :)

Octachel

This one I don't understand at all. Octavian is a maniac evil teddy bear mass murderer.
Rachel is the red haired painter oracle.
I get why you would ship them because of the Oracle part, but why else would you ship them? I don't get it.
Octavian was ready to kill Rachel.
They never met.
I don't get it.

Perachel

Guys.
No.
Just.
No.
I love the character of Rachel.
I love the character of Percy.
But I HATE Perachel.
I've already made it clear that I'm hardcore Percabeth.
That ship seems rushed.
Percabeth met in The Lightning Thief. Annabeth kissed him four books later.
Perachel met in The Titan's curse and two books after she kissed him, and they barely knew each other in TTC.
Annabeth calling Percy Seaweed Brain and Percy calling Annabeth Wise Girl is just the cutest.
Did Perachel come up with those names? No.
Percabeth is an opposites attract ship. Their parents are rivals and their persinalities are very different, yet they're perfect for each other. They would die for each other.
Perachel only went on for like two books and she became oracle, so Perachel isn't exactly possible anyway.
I like them all as friends. The tension between Annabeth and Rachel in those two books was unbearable.

Lukeabeth

Who the shuck came up with this ship????
1. They are six years apart
2. In The Last Olympian Annabeth tells Luke that he was a brother to her, but that she never loved him.
3. Spoiler alert! Luke is kinda . . . dead
4. They're a family
5. Luke went all Kronos and betrayed them
6. PERCY

Thalico

Now I also understand that this is a very popular ship. I just don't get it.
Thalia is a hunter of Artemis. Thalia cannot be with a guy.
Nico's sister died because she joined the hunters.
Nico resents the hunters for Bianca's death.
Why would they like each other?
They barely know each other.

Liper

I hate Liper. Mainly because Leo and Piper are like unrelated siblings. If they started dating that would break my heart. I love their friendship. Don't ship them.

Okay, that's all I can think of. And I'm not trying to crush your dreams for your ships. Its just my opinion. *prepares for hate comments*