I have lots of ships! Most of them don't necessarily fall into a specific pattern—well, except my femmeslash ships, oddly enough, in which case there is a very distinct trend of "two girls who outwardly appear opposites but are fundamentally similar on an internal level"... Shh... But generally, if I find a pairing to have chemistry, I'll ship it. Generally I gravitate only towards ships that—at least as far as I'm concerned—have a strong basis in canon (unless we're counting RP ships), though there are a couple of exceptions. I really like pairings of equals—and I definitely tend to love pairings with friction, ones that argue a lot but care deep down.

For specific pairings... Let's go with Kyoko/Sayaka from Puella Magi Madoka Magica! They fit in the above trend for femmeslash ships I have. I love how they work as foils for each other, and despite all their conflict, Kyoko really understood her and cared about her enough to die with her. I haven't really been keeping up with the new Madoka material, but the fact that we get to see them just being cute friends together in a lot of it makes me so happy, because it was always sad that they never got the chance in the series proper.