Ships: I have a lot of them, and they are all listed here by fandom.
Harry Potter: Snape/Lily, Sirius/Remus, Scorpius/Rose
Doctor Who: Doctor/Rose, Amy/Rory, Jack/Everyone
BBC Sherlock: Sherlock/John, Mycroft/Lestrade
Glee: Kurt/Blaine, Tina/Artie (yes, STILL), Brittany/Santana, Sam/Mercedes, Rachel/Quinn
The Mortal Instruments: Magnus/Alec, Simon/Isabelle
The Infernal Devices: Will/Tessa, Charlotte/Henry(THEY ARE PERFECT), Gideon/Sophie
Avatar: The Last Airbender: Zuko/Katara
The Avengers (movieverse): Steve/Tony, Clint/Coulson, Thor/Jane
OTPs to end all OTPs: Snily, Doctor/Rose, and Malec.