Hmmm ... i felt so sure i'd posted here, but apparently not.
Transfiguration-Art I like to think of this as art, because in art, you create new things. It'd be more like a sturdy art subject, like Design or something, because Transfiguration deals with what
is there, wheras in just general art, you can let your mind do whatever it likes.
Charms-Photography In photography, you change something, into something else, like a negative print into a positive, and you can change the properties of a picture, make it blury, brighter, etc. In Charms, you change the properties on a thing, into something else. Plus both can be rather fun subjects and times.
Potions-Food Technology Everyone thinks chemistry, but i think cooking, because you're adding lot's of different ingrediants together, to make one thing-just like in potions. You even cook the potions on fires.
Herbology-Biology This was closest i could get. In bio, you learn about the world around you, and nature and whatnot, and Herbology is, well, plants. Which could come under Biology.
Defence Against the Dark Arts-Self Defence/P.E Your're basically learning skills how to defend yourself, and in PE, you learn how to co-opperate with other's and how sometimes you need help with something (A team sport, or a duel) and sometimes you must learn to work alone (traped by yourself and you have to duel your way out, and a one-person sport like tennis or something).
History of Magic-History Well, this one is self-explanitory, really. Both learn the history of their world.
Astronamy-Astronamy Well, duh.
Divination-Careers Advice This was a difficult one, all right? In divination, you predict the future, and in careers advice, you, well ... sort out what you want to do with your future career. A very obtuse reason, but i've made it fit.
Muggle Studies-Sociology In this subject, you learn why a person would make a certain choice, or how a person opperates. That's basically Muggle studies, which teaches how a muggle works (Which is just an ordinary person, so it's basically the same thing)
Care of Magical Creatures-Zoology This isn't actually a subject that is taught at my school, but it is a University subject, and basically both are dealing with animals. Though we don't deal with magical ones.
Arithmancy-MathsThey both deal with number's, and though it can sometimes be hard, there are people out their who like both subjects (Hermione, and my maths teacher).
Study of Anceint Runes-A Forrien Language Class Because, i think in Ancient Runes, you learn how to inerpret the meanings, and that's basically like learning a whole new language.