Oh, you could go to Hay-on-Wye! It's a tiny, tiny village in Wales remarkable mostly for being entirely composed of bookstores. There's pretty much nothing to do there other than look at bookstores, though, so I wouldn't recommend spending more than a day there, at most. On the other hand, it's right on the edge of the Brecon Beacons park, so if you're into hiking through terrifyingly isolated moorlands and hills, you could easily get in both on one trip.
Also, this is probably too touristy for you, but I highly recommend the London Walks: http://www.walks.com/ They do all sorts of walking tours (mostly in London, though there's a few in other parts of the country as well) on different themes: Shakespeare, Harry Potter, ghosts, Jack the Ripper, Victorian era philanthropists, beer and pubs, food, etc. I go on one pretty much whenever I'm in London, and must have been on at least a dozen by now. Every single one I've really enjoyed and learned a lot. And their guides are really knowledgable and nice! Once I even made such good friends with a guide that we ended up grabbing dinner together afterwards, which was cool. They're also only £10 (£8 if you have a student ID), so it might be worth checking one out just to see if you like it.
If you like Indian food at all, you should totally check out Brick Lane in London. You can literally just walk down the street, pick a random restaurant, and it will be the best Indian food outside of South Asia. It's all so delicious, I practically dream about it.
I always have had a secret desire to go see the Orkney Islands, both for King Arthur and because they're such a random, out of the way place to visit. But it turns out, shockingly, that random out of the way places are pretty hard to get to, and so I've never managed it. But if you're going up to Edinburgh you'll already be much closer than I ever have been, so maybe that's an idea?
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Also, this is probably too touristy for you, but I highly recommend the London Walks:
http://www.walks.com/
They do all sorts of walking tours (mostly in London, though there's a few in other parts of the country as well) on different themes: Shakespeare, Harry Potter, ghosts, Jack the Ripper, Victorian era philanthropists, beer and pubs, food, etc. I go on one pretty much whenever I'm in London, and must have been on at least a dozen by now. Every single one I've really enjoyed and learned a lot. And their guides are really knowledgable and nice! Once I even made such good friends with a guide that we ended up grabbing dinner together afterwards, which was cool. They're also only £10 (£8 if you have a student ID), so it might be worth checking one out just to see if you like it.
If you like Indian food at all, you should totally check out Brick Lane in London. You can literally just walk down the street, pick a random restaurant, and it will be the best Indian food outside of South Asia. It's all so delicious, I practically dream about it.
I always have had a secret desire to go see the Orkney Islands, both for King Arthur and because they're such a random, out of the way place to visit. But it turns out, shockingly, that random out of the way places are pretty hard to get to, and so I've never managed it. But if you're going up to Edinburgh you'll already be much closer than I ever have been, so maybe that's an idea?