I enjoy rival-ships, bro-ships, and mentor-ships most. So examples are Gaius/Wingul, Yuri/Flynn, and Milla/Jude. I SHIP A LOT OF STUFF THAT DOESN'T FALL UNDER THESE THREE CLASSIFICATIONS but those are the types I tend to ship most often.

... I'm not going into all the Tales things I ship though that is way too much.