I actually have a LOT of ships, and I tend to gravitate more toward media that has ships I find intriguing. Sometimes I'll even get into a canon altogether because I wanted to know more about a ship (glances at amissapanda and cykesquill and ace attorney LMAO). So the list is actually a lot longer than this, but those are the ships I immediately think of when asked this question. I don't have a standard set of 'traits' I have to ship something, but if it involves partnership and trust, I will probably be very easily won over.
Lately I've been watching Cardcaptor Sakura and looking forward to watching the Sakura/Syaoran ship play out. ^^
Also I've only watched the anime, but I've read up on Ymir and Christa and I ship them a lot too!