Since climbing began buildering has always been a part of it even in areas close to the crags, I climbed on the Henry Price building in Leeds a lot in the 80's.
The antics of the Cambridge climbers trying to get up all the spires are fairly well known, there's even a book. First video footage I can think of is from the 80's, it's a classic called Stone Monkey and has a couple of brief clips of Jonny Dawes climbing a bridge abutment and a bus stop.
The viaduct in New Mills has now been bolted to allow sports climbing to take place on the abutments, a lot of climbing in areas away from natural rock have established climbs on bridges, viaducts, and retaining walls, some are actually quite good.
The strangest place I have buildered is on a huge WW2 concrete bunker in Berlin, it has been bolted by local climbers and the climbs follow the bullet and shrapnel scars on the concrete walls. This old building built into a crag near me is probably my closest now Chew Valley Bouldering | Flickr - Photo Sharing!.
Long may buildering remain, some classic problems out there :)
I suppose buildering was the predecessor to the modern climbing wall, most climbing walls built in the 80's were just made out of bricks some stepped out more than others, as well as the ones with bits of rock cast into breeze blocks and the odd concrete feature,. If you were lucky they were situated indoors, but this sometimes wasn't great! The climbing wall at Stalybridge (SIDS) had a leaky roof, so if it was raining outside it would also rain inside :) . How much they have changed over the years to give you the modern climbing and bouldering venues, often in old mills or once derelict buildings.
Enough of indoor walls, here's a link to some buildering venues and locations if you can be bothered looking through the threads, as with exploring some are utter shite, but utter shite is sometimes better than nothing at all unless there is a good pub, selling real ales, with a buxom bar maid and an open fire
Also, Urbis and G-MEX in Manchester... awaiting film to be developed, and I'll stick them up. Naturally, the extent and difficulty varies with each one... I am not a natural climber by any means, I don't go bouldering or anything... but it's given me a new, refreshing outlook on rooftopping in the city... a new challenge... and is certainly more interesting than the 'get past concierge / get in lift/staircase / go out of hatch' approach to rooftopping.
I do a fair bit around Sheffield. We've gone to indoor places now the weather's crap, but as soon as it's good again we'll be outdoors. You'd be welcome to come out sometime if you want to. Bouldering that is, going to keep my eyes open for some concrete routes.